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Finding the Fourth Proportional to 408,477.55, 563,689.16 and 227,188.93

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Solution

The fourth proportional to 408,477.55, 563,689.16 and 227,188.93 is: 313,515.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,477.55 : 563,689.16 = 227,188.93 : x
  2. Step 2: Convert to fraction form
    408,477.55/563,689.16 = 227,188.93/x
  3. Step 3: Cross multiply
    408,477.55x = 563,689.16 × 227,188.93
  4. Step 4: Simplify right side
    408,477.55x = 128,063,934,862.53
  5. Step 5: Solve for x
    x = 128,063,934,862.53/408,477.55
  6. Step 6: Final answer
    x = 313,515.24

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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.