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Finding the Fourth Proportional to 257,040.40, 385,445.40 and 99,216.40

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Solution

The fourth proportional to 257,040.40, 385,445.40 and 99,216.40 is: 148,780.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,040.40 : 385,445.40 = 99,216.40 : x
  2. Step 2: Convert to fraction form
    257,040.40/385,445.40 = 99,216.40/x
  3. Step 3: Cross multiply
    257,040.40x = 385,445.40 × 99,216.40
  4. Step 4: Simplify right side
    257,040.40x = 38,242,504,984.56
  5. Step 5: Solve for x
    x = 38,242,504,984.56/257,040.40
  6. Step 6: Final answer
    x = 148,780.13

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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.