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Finding the Fourth Proportional to 288,805,429.20, 433,208,143.80 and 274,696,654.80

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Solution

The fourth proportional to 288,805,429.20, 433,208,143.80 and 274,696,654.80 is: 412,044,982.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,805,429.20 : 433,208,143.80 = 274,696,654.80 : x
  2. Step 2: Convert to fraction form
    288,805,429.20/433,208,143.80 = 274,696,654.80/x
  3. Step 3: Cross multiply
    288,805,429.20x = 433,208,143.80 × 274,696,654.80
  4. Step 4: Simplify right side
    288,805,429.20x = 119,000,827,933,977,376
  5. Step 5: Solve for x
    x = 119,000,827,933,977,376/288,805,429.20
  6. Step 6: Final answer
    x = 412,044,982.20

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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.