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Finding the Fourth Proportional to 312,534.90, 431,300.24 and 169,294.95

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Solution

The fourth proportional to 312,534.90, 431,300.24 and 169,294.95 is: 233,628.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,534.90 : 431,300.24 = 169,294.95 : x
  2. Step 2: Convert to fraction form
    312,534.90/431,300.24 = 169,294.95/x
  3. Step 3: Cross multiply
    312,534.90x = 431,300.24 × 169,294.95
  4. Step 4: Simplify right side
    312,534.90x = 73,016,950,578.08
  5. Step 5: Solve for x
    x = 73,016,950,578.08/312,534.90
  6. Step 6: Final answer
    x = 233,628.15

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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.