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Finding the Fourth Proportional to 408,385.80, 612,598.75 and 108,869.06

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Solution

The fourth proportional to 408,385.80, 612,598.75 and 108,869.06 is: 163,308.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,385.80 : 612,598.75 = 108,869.06 : x
  2. Step 2: Convert to fraction form
    408,385.80/612,598.75 = 108,869.06/x
  3. Step 3: Cross multiply
    408,385.80x = 612,598.75 × 108,869.06
  4. Step 4: Simplify right side
    408,385.80x = 66,693,051,329.00
  5. Step 5: Solve for x
    x = 66,693,051,329.00/408,385.80
  6. Step 6: Final answer
    x = 163,308.94

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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.