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Finding the Fourth Proportional to 410,752.62, 615,865.28 and 171,032.72

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Solution

The fourth proportional to 410,752.62, 615,865.28 and 171,032.72 is: 256,439.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,752.62 : 615,865.28 = 171,032.72 : x
  2. Step 2: Convert to fraction form
    410,752.62/615,865.28 = 171,032.72/x
  3. Step 3: Cross multiply
    410,752.62x = 615,865.28 × 171,032.72
  4. Step 4: Simplify right side
    410,752.62x = 105,333,110,057.47
  5. Step 5: Solve for x
    x = 105,333,110,057.47/410,752.62
  6. Step 6: Final answer
    x = 256,439.29

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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.