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Finding the Fourth Proportional to 408,875.61, 564,248.35 and 227,583.64

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Solution

The fourth proportional to 408,875.61, 564,248.35 and 227,583.64 is: 314,065.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,875.61 : 564,248.35 = 227,583.64 : x
  2. Step 2: Convert to fraction form
    408,875.61/564,248.35 = 227,583.64/x
  3. Step 3: Cross multiply
    408,875.61x = 564,248.35 × 227,583.64
  4. Step 4: Simplify right side
    408,875.61x = 128,413,694,346.78
  5. Step 5: Solve for x
    x = 128,413,694,346.78/408,875.61
  6. Step 6: Final answer
    x = 314,065.43

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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.