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Finding the Fourth Proportional to 363,831.60, 545,747.40 and 257,543.40

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Solution

The fourth proportional to 363,831.60, 545,747.40 and 257,543.40 is: 386,315.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,831.60 : 545,747.40 = 257,543.40 : x
  2. Step 2: Convert to fraction form
    363,831.60/545,747.40 = 257,543.40/x
  3. Step 3: Cross multiply
    363,831.60x = 545,747.40 × 257,543.40
  4. Step 4: Simplify right side
    363,831.60x = 140,553,640,937.16
  5. Step 5: Solve for x
    x = 140,553,640,937.16/363,831.60
  6. Step 6: Final answer
    x = 386,315.10

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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.