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Finding the Fourth Proportional to 649,654,402.60, 974,481,603.90 and 578,228,732.20

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Solution

The fourth proportional to 649,654,402.60, 974,481,603.90 and 578,228,732.20 is: 867,343,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,654,402.60 : 974,481,603.90 = 578,228,732.20 : x
  2. Step 2: Convert to fraction form
    649,654,402.60/974,481,603.90 = 578,228,732.20/x
  3. Step 3: Cross multiply
    649,654,402.60x = 974,481,603.90 × 578,228,732.20
  4. Step 4: Simplify right side
    649,654,402.60x = 563,473,262,375,319,616
  5. Step 5: Solve for x
    x = 563,473,262,375,319,616/649,654,402.60
  6. Step 6: Final answer
    x = 867,343,098.30

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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.