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Finding the Fourth Proportional to 409,271.69, 564,719.96 and 227,979.11

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Solution

The fourth proportional to 409,271.69, 564,719.96 and 227,979.11 is: 314,569.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,271.69 : 564,719.96 = 227,979.11 : x
  2. Step 2: Convert to fraction form
    409,271.69/564,719.96 = 227,979.11/x
  3. Step 3: Cross multiply
    409,271.69x = 564,719.96 × 227,979.11
  4. Step 4: Simplify right side
    409,271.69x = 128,744,349,916.54
  5. Step 5: Solve for x
    x = 128,744,349,916.54/409,271.69
  6. Step 6: Final answer
    x = 314,569.40

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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.