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Finding the Fourth Proportional to 312,943.70, 431,862.42 and 169,703.70

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Solution

The fourth proportional to 312,943.70, 431,862.42 and 169,703.70 is: 234,191.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,943.70 : 431,862.42 = 169,703.70 : x
  2. Step 2: Convert to fraction form
    312,943.70/431,862.42 = 169,703.70/x
  3. Step 3: Cross multiply
    312,943.70x = 431,862.42 × 169,703.70
  4. Step 4: Simplify right side
    312,943.70x = 73,288,650,564.95
  5. Step 5: Solve for x
    x = 73,288,650,564.95/312,943.70
  6. Step 6: Final answer
    x = 234,191.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.