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Finding the Fourth Proportional to 561,414.29, 840,612.37 and 427,657.37

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Solution

The fourth proportional to 561,414.29, 840,612.37 and 427,657.37 is: 640,336.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,414.29 : 840,612.37 = 427,657.37 : x
  2. Step 2: Convert to fraction form
    561,414.29/840,612.37 = 427,657.37/x
  3. Step 3: Cross multiply
    561,414.29x = 840,612.37 × 427,657.37
  4. Step 4: Simplify right side
    561,414.29x = 359,494,070,071.46
  5. Step 5: Solve for x
    x = 359,494,070,071.46/561,414.29
  6. Step 6: Final answer
    x = 640,336.52

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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.