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Finding the Fourth Proportional to 289,175,478.40, 433,760,452.80 and 70,826,780.80

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Solution

The fourth proportional to 289,175,478.40, 433,760,452.80 and 70,826,780.80 is: 106,239,494.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,175,478.40 : 433,760,452.80 = 70,826,780.80 : x
  2. Step 2: Convert to fraction form
    289,175,478.40/433,760,452.80 = 70,826,780.80/x
  3. Step 3: Cross multiply
    289,175,478.40x = 433,760,452.80 × 70,826,780.80
  4. Step 4: Simplify right side
    289,175,478.40x = 30,721,856,510,174,344
  5. Step 5: Solve for x
    x = 30,721,856,510,174,344/289,175,478.40
  6. Step 6: Final answer
    x = 106,239,494.03

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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.