Home / 257,286,146,147.42-385,915,252,905.16-78,198,170,056.52

Finding the Fourth Proportional to 257,286,146,147.42, 385,915,252,905.16 and 78,198,170,056.52

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Solution

The fourth proportional to 257,286,146,147.42, 385,915,252,905.16 and 78,198,170,056.52 is: 117,293,010,237.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,286,146,147.42 : 385,915,252,905.16 = 78,198,170,056.52 : x
  2. Step 2: Convert to fraction form
    257,286,146,147.42/385,915,252,905.16 = 78,198,170,056.52/x
  3. Step 3: Cross multiply
    257,286,146,147.42x = 385,915,252,905.16 × 78,198,170,056.52
  4. Step 4: Simplify right side
    257,286,146,147.42x = 30,177,866,574,082,623,930,368
  5. Step 5: Solve for x
    x = 30,177,866,574,082,623,930,368/257,286,146,147.42
  6. Step 6: Final answer
    x = 117,293,010,237.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.