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Finding the Fourth Proportional to 408,807.11, 564,153.80 and 227,561.86

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Solution

The fourth proportional to 408,807.11, 564,153.80 and 227,561.86 is: 314,035.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,807.11 : 564,153.80 = 227,561.86 : x
  2. Step 2: Convert to fraction form
    408,807.11/564,153.80 = 227,561.86/x
  3. Step 3: Cross multiply
    408,807.11x = 564,153.80 × 227,561.86
  4. Step 4: Simplify right side
    408,807.11x = 128,379,888,054.07
  5. Step 5: Solve for x
    x = 128,379,888,054.07/408,807.11
  6. Step 6: Final answer
    x = 314,035.36

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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.