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Finding the Fourth Proportional to 431,569.65, 647,354.48 and 111,720.90

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Solution

The fourth proportional to 431,569.65, 647,354.48 and 111,720.90 is: 167,581.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,569.65 : 647,354.48 = 111,720.90 : x
  2. Step 2: Convert to fraction form
    431,569.65/647,354.48 = 111,720.90/x
  3. Step 3: Cross multiply
    431,569.65x = 647,354.48 × 111,720.90
  4. Step 4: Simplify right side
    431,569.65x = 72,323,024,566.03
  5. Step 5: Solve for x
    x = 72,323,024,566.03/431,569.65
  6. Step 6: Final answer
    x = 167,581.35

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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.