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Finding the Fourth Proportional to 312,932.95, 431,850.17 and 169,693

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Solution

The fourth proportional to 312,932.95, 431,850.17 and 169,693 is: 234,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,932.95 : 431,850.17 = 169,693 : x
  2. Step 2: Convert to fraction form
    312,932.95/431,850.17 = 169,693/x
  3. Step 3: Cross multiply
    312,932.95x = 431,850.17 × 169,693
  4. Step 4: Simplify right side
    312,932.95x = 73,281,950,897.81
  5. Step 5: Solve for x
    x = 73,281,950,897.81/312,932.95
  6. Step 6: Final answer
    x = 234,177.80

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1.5x scale

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.