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Finding the Fourth Proportional to 288,684,902.10, 433,027,353.15 and 282,945,339.30

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Solution

The fourth proportional to 288,684,902.10, 433,027,353.15 and 282,945,339.30 is: 424,418,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,684,902.10 : 433,027,353.15 = 282,945,339.30 : x
  2. Step 2: Convert to fraction form
    288,684,902.10/433,027,353.15 = 282,945,339.30/x
  3. Step 3: Cross multiply
    288,684,902.10x = 433,027,353.15 × 282,945,339.30
  4. Step 4: Simplify right side
    288,684,902.10x = 122,523,071,363,207,680
  5. Step 5: Solve for x
    x = 122,523,071,363,207,680/288,684,902.10
  6. Step 6: Final answer
    x = 424,418,008.95

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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.