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Finding the Fourth Proportional to 542,592,065.40, 813,888,098.10 and 521,428,903.80

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Solution

The fourth proportional to 542,592,065.40, 813,888,098.10 and 521,428,903.80 is: 782,143,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,592,065.40 : 813,888,098.10 = 521,428,903.80 : x
  2. Step 2: Convert to fraction form
    542,592,065.40/813,888,098.10 = 521,428,903.80/x
  3. Step 3: Cross multiply
    542,592,065.40x = 813,888,098.10 × 521,428,903.80
  4. Step 4: Simplify right side
    542,592,065.40x = 424,384,778,808,149,888
  5. Step 5: Solve for x
    x = 424,384,778,808,149,888/542,592,065.40
  6. Step 6: Final answer
    x = 782,143,355.70

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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.