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Finding the Fourth Proportional to 475,575.20, 656,293.71 and 260,716.78

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Solution

The fourth proportional to 475,575.20, 656,293.71 and 260,716.78 is: 359,789.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,575.20 : 656,293.71 = 260,716.78 : x
  2. Step 2: Convert to fraction form
    475,575.20/656,293.71 = 260,716.78/x
  3. Step 3: Cross multiply
    475,575.20x = 656,293.71 × 260,716.78
  4. Step 4: Simplify right side
    475,575.20x = 171,106,781,164.72
  5. Step 5: Solve for x
    x = 171,106,781,164.72/475,575.20
  6. Step 6: Final answer
    x = 359,789.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.