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Finding the Fourth Proportional to 409,020.66, 564,431.96 and 227,727.47

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Solution

The fourth proportional to 409,020.66, 564,431.96 and 227,727.47 is: 314,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,020.66 : 564,431.96 = 227,727.47 : x
  2. Step 2: Convert to fraction form
    409,020.66/564,431.96 = 227,727.47/x
  3. Step 3: Cross multiply
    409,020.66x = 564,431.96 × 227,727.47
  4. Step 4: Simplify right side
    409,020.66x = 128,536,664,218.34
  5. Step 5: Solve for x
    x = 128,536,664,218.34/409,020.66
  6. Step 6: Final answer
    x = 314,254.70

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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.