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Finding the Fourth Proportional to 661,499,657.75, 992,398,973.21 and 218,841,299.20

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Solution

The fourth proportional to 661,499,657.75, 992,398,973.21 and 218,841,299.20 is: 328,311,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,499,657.75 : 992,398,973.21 = 218,841,299.20 : x
  2. Step 2: Convert to fraction form
    661,499,657.75/992,398,973.21 = 218,841,299.20/x
  3. Step 3: Cross multiply
    661,499,657.75x = 992,398,973.21 × 218,841,299.20
  4. Step 4: Simplify right side
    661,499,657.75x = 217,177,880,622,022,400
  5. Step 5: Solve for x
    x = 217,177,880,622,022,400/661,499,657.75
  6. Step 6: Final answer
    x = 328,311,402.85

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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.