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Finding the Fourth Proportional to 408,069.76, 563,188.83 and 229,256.32

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Solution

The fourth proportional to 408,069.76, 563,188.83 and 229,256.32 is: 316,403.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,069.76 : 563,188.83 = 229,256.32 : x
  2. Step 2: Convert to fraction form
    408,069.76/563,188.83 = 229,256.32/x
  3. Step 3: Cross multiply
    408,069.76x = 563,188.83 × 229,256.32
  4. Step 4: Simplify right side
    408,069.76x = 129,114,598,630.91
  5. Step 5: Solve for x
    x = 129,114,598,630.91/408,069.76
  6. Step 6: Final answer
    x = 316,403.25

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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.