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Finding the Fourth Proportional to 657,098.64, 980,894.58 and 577,382.80

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Solution

The fourth proportional to 657,098.64, 980,894.58 and 577,382.80 is: 861,897.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,098.64 : 980,894.58 = 577,382.80 : x
  2. Step 2: Convert to fraction form
    657,098.64/980,894.58 = 577,382.80/x
  3. Step 3: Cross multiply
    657,098.64x = 980,894.58 × 577,382.80
  4. Step 4: Simplify right side
    657,098.64x = 566,351,659,105.22
  5. Step 5: Solve for x
    x = 566,351,659,105.22/657,098.64
  6. Step 6: Final answer
    x = 861,897.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.