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Finding the Fourth Proportional to 409,920.72, 565,688.71 and 226,154.29

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Solution

The fourth proportional to 409,920.72, 565,688.71 and 226,154.29 is: 312,091.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,920.72 : 565,688.71 = 226,154.29 : x
  2. Step 2: Convert to fraction form
    409,920.72/565,688.71 = 226,154.29/x
  3. Step 3: Cross multiply
    409,920.72x = 565,688.71 × 226,154.29
  4. Step 4: Simplify right side
    409,920.72x = 127,932,928,571.07
  5. Step 5: Solve for x
    x = 127,932,928,571.07/409,920.72
  6. Step 6: Final answer
    x = 312,091.88

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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.