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Finding the Fourth Proportional to 408,431.96, 563,650.47 and 227,151.53

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Solution

The fourth proportional to 408,431.96, 563,650.47 and 227,151.53 is: 313,477.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,431.96 : 563,650.47 = 227,151.53 : x
  2. Step 2: Convert to fraction form
    408,431.96/563,650.47 = 227,151.53/x
  3. Step 3: Cross multiply
    408,431.96x = 563,650.47 × 227,151.53
  4. Step 4: Simplify right side
    408,431.96x = 128,034,063,827.47
  5. Step 5: Solve for x
    x = 128,034,063,827.47/408,431.96
  6. Step 6: Final answer
    x = 313,477.10

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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.