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Finding the Fourth Proportional to 408,070.76, 563,190.21 and 229,257.32

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Solution

The fourth proportional to 408,070.76, 563,190.21 and 229,257.32 is: 316,404.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,070.76 : 563,190.21 = 229,257.32 : x
  2. Step 2: Convert to fraction form
    408,070.76/563,190.21 = 229,257.32/x
  3. Step 3: Cross multiply
    408,070.76x = 563,190.21 × 229,257.32
  4. Step 4: Simplify right side
    408,070.76x = 129,115,478,194.84
  5. Step 5: Solve for x
    x = 129,115,478,194.84/408,070.76
  6. Step 6: Final answer
    x = 316,404.63

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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.