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Finding the Fourth Proportional to 861,276,961.80, 1,290,375,794.70 and 524,140,705.80

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Solution

The fourth proportional to 861,276,961.80, 1,290,375,794.70 and 524,140,705.80 is: 785,274,086.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    861,276,961.80 : 1,290,375,794.70 = 524,140,705.80 : x
  2. Step 2: Convert to fraction form
    861,276,961.80/1,290,375,794.70 = 524,140,705.80/x
  3. Step 3: Cross multiply
    861,276,961.80x = 1,290,375,794.70 × 524,140,705.80
  4. Step 4: Simplify right side
    861,276,961.80x = 676,338,479,781,293,952
  5. Step 5: Solve for x
    x = 676,338,479,781,293,952/861,276,961.80
  6. Step 6: Final answer
    x = 785,274,086.94

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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.