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Finding the Fourth Proportional to 408,972, 564,336 and 227,642.16

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Solution

The fourth proportional to 408,972, 564,336 and 227,642.16 is: 314,120.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,972 : 564,336 = 227,642.16 : x
  2. Step 2: Convert to fraction form
    408,972/564,336 = 227,642.16/x
  3. Step 3: Cross multiply
    408,972x = 564,336 × 227,642.16
  4. Step 4: Simplify right side
    408,972x = 128,466,666,005.76
  5. Step 5: Solve for x
    x = 128,466,666,005.76/408,972
  6. Step 6: Final answer
    x = 314,120.93

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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.