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Finding the Fourth Proportional to 646,695.38, 970,458.26 and 433,703.85

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Solution

The fourth proportional to 646,695.38, 970,458.26 and 433,703.85 is: 650,834.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,695.38 : 970,458.26 = 433,703.85 : x
  2. Step 2: Convert to fraction form
    646,695.38/970,458.26 = 433,703.85/x
  3. Step 3: Cross multiply
    646,695.38x = 970,458.26 × 433,703.85
  4. Step 4: Simplify right side
    646,695.38x = 420,891,481,457.78
  5. Step 5: Solve for x
    x = 420,891,481,457.78/646,695.38
  6. Step 6: Final answer
    x = 650,834.22

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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.