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Finding the Fourth Proportional to 908,107,142.92, 1,253,187,809.28 and 490,419,388

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Solution

The fourth proportional to 908,107,142.92, 1,253,187,809.28 and 490,419,388 is: 676,778,729.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,107,142.92 : 1,253,187,809.28 = 490,419,388 : x
  2. Step 2: Convert to fraction form
    908,107,142.92/1,253,187,809.28 = 490,419,388/x
  3. Step 3: Cross multiply
    908,107,142.92x = 1,253,187,809.28 × 490,419,388
  4. Step 4: Simplify right side
    908,107,142.92x = 614,587,598,476,158,336
  5. Step 5: Solve for x
    x = 614,587,598,476,158,336/908,107,142.92
  6. Step 6: Final answer
    x = 676,778,729.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.