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Finding the Fourth Proportional to 408,264.48, 612,420.55 and 123,964.30

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Solution

The fourth proportional to 408,264.48, 612,420.55 and 123,964.30 is: 185,953.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,264.48 : 612,420.55 = 123,964.30 : x
  2. Step 2: Convert to fraction form
    408,264.48/612,420.55 = 123,964.30/x
  3. Step 3: Cross multiply
    408,264.48x = 612,420.55 × 123,964.30
  4. Step 4: Simplify right side
    408,264.48x = 75,918,287,661.71
  5. Step 5: Solve for x
    x = 75,918,287,661.71/408,264.48
  6. Step 6: Final answer
    x = 185,953.69

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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.