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Finding the Fourth Proportional to 408,252.48, 611,643.90 and 384,236.76

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Solution

The fourth proportional to 408,252.48, 611,643.90 and 384,236.76 is: 575,663.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,252.48 : 611,643.90 = 384,236.76 : x
  2. Step 2: Convert to fraction form
    408,252.48/611,643.90 = 384,236.76/x
  3. Step 3: Cross multiply
    408,252.48x = 611,643.90 × 384,236.76
  4. Step 4: Simplify right side
    408,252.48x = 235,016,070,409.76
  5. Step 5: Solve for x
    x = 235,016,070,409.76/408,252.48
  6. Step 6: Final answer
    x = 575,663.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.