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Finding the Fourth Proportional to 657,081.60, 984,893.40 and 257,589.60

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Solution

The fourth proportional to 657,081.60, 984,893.40 and 257,589.60 is: 386,098.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    657,081.60 : 984,893.40 = 257,589.60 : x
  2. Step 2: Convert to fraction form
    657,081.60/984,893.40 = 257,589.60/x
  3. Step 3: Cross multiply
    657,081.60x = 984,893.40 × 257,589.60
  4. Step 4: Simplify right side
    657,081.60x = 253,698,296,948.64
  5. Step 5: Solve for x
    x = 253,698,296,948.64/657,081.60
  6. Step 6: Final answer
    x = 386,098.62

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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.