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Finding the Fourth Proportional to 363,963.60, 545,945.40 and 257,675.40

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Solution

The fourth proportional to 363,963.60, 545,945.40 and 257,675.40 is: 386,513.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,963.60 : 545,945.40 = 257,675.40 : x
  2. Step 2: Convert to fraction form
    363,963.60/545,945.40 = 257,675.40/x
  3. Step 3: Cross multiply
    363,963.60x = 545,945.40 × 257,675.40
  4. Step 4: Simplify right side
    363,963.60x = 140,676,699,323.16
  5. Step 5: Solve for x
    x = 140,676,699,323.16/363,963.60
  6. Step 6: Final answer
    x = 386,513.10

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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.