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Finding the Fourth Proportional to 288,458,542.80, 432,687,814.20 and 259,737,109.20

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Solution

The fourth proportional to 288,458,542.80, 432,687,814.20 and 259,737,109.20 is: 389,605,663.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,458,542.80 : 432,687,814.20 = 259,737,109.20 : x
  2. Step 2: Convert to fraction form
    288,458,542.80/432,687,814.20 = 259,737,109.20/x
  3. Step 3: Cross multiply
    288,458,542.80x = 432,687,814.20 × 259,737,109.20
  4. Step 4: Simplify right side
    288,458,542.80x = 112,385,082,046,374,704
  5. Step 5: Solve for x
    x = 112,385,082,046,374,704/288,458,542.80
  6. Step 6: Final answer
    x = 389,605,663.80

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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.