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Finding the Fourth Proportional to 320,471.80, 442,233.07 and 175,248.76

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Solution

The fourth proportional to 320,471.80, 442,233.07 and 175,248.76 is: 241,833.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,471.80 : 442,233.07 = 175,248.76 : x
  2. Step 2: Convert to fraction form
    320,471.80/442,233.07 = 175,248.76/x
  3. Step 3: Cross multiply
    320,471.80x = 442,233.07 × 175,248.76
  4. Step 4: Simplify right side
    320,471.80x = 77,500,797,148.49
  5. Step 5: Solve for x
    x = 77,500,797,148.49/320,471.80
  6. Step 6: Final answer
    x = 241,833.44

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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.