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Finding the Fourth Proportional to 410,646.76, 615,921.62 and 126,336.76

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Solution

The fourth proportional to 410,646.76, 615,921.62 and 126,336.76 is: 189,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,646.76 : 615,921.62 = 126,336.76 : x
  2. Step 2: Convert to fraction form
    410,646.76/615,921.62 = 126,336.76/x
  3. Step 3: Cross multiply
    410,646.76x = 615,921.62 × 126,336.76
  4. Step 4: Simplify right side
    410,646.76x = 77,813,543,888.47
  5. Step 5: Solve for x
    x = 77,813,543,888.47/410,646.76
  6. Step 6: Final answer
    x = 189,490.22

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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.