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Finding the Fourth Proportional to 580,654,703.80, 870,982,055.70 and 257,538,575.80

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Solution

The fourth proportional to 580,654,703.80, 870,982,055.70 and 257,538,575.80 is: 386,307,863.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    580,654,703.80 : 870,982,055.70 = 257,538,575.80 : x
  2. Step 2: Convert to fraction form
    580,654,703.80/870,982,055.70 = 257,538,575.80/x
  3. Step 3: Cross multiply
    580,654,703.80x = 870,982,055.70 × 257,538,575.80
  4. Step 4: Simplify right side
    580,654,703.80x = 224,311,478,172,334,304
  5. Step 5: Solve for x
    x = 224,311,478,172,334,304/580,654,703.80
  6. Step 6: Final answer
    x = 386,307,863.70

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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.