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Finding the Fourth Proportional to 431,969.08, 647,909.86 and 116,457.88

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Solution

The fourth proportional to 431,969.08, 647,909.86 and 116,457.88 is: 174,675.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,969.08 : 647,909.86 = 116,457.88 : x
  2. Step 2: Convert to fraction form
    431,969.08/647,909.86 = 116,457.88/x
  3. Step 3: Cross multiply
    431,969.08x = 647,909.86 × 116,457.88
  4. Step 4: Simplify right side
    431,969.08x = 75,454,208,726.70
  5. Step 5: Solve for x
    x = 75,454,208,726.70/431,969.08
  6. Step 6: Final answer
    x = 174,675.02

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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.