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Finding the Fourth Proportional to 253,471.40, 349,753.92 and 140,293.88

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Solution

The fourth proportional to 253,471.40, 349,753.92 and 140,293.88 is: 193,585.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,471.40 : 349,753.92 = 140,293.88 : x
  2. Step 2: Convert to fraction form
    253,471.40/349,753.92 = 140,293.88/x
  3. Step 3: Cross multiply
    253,471.40x = 349,753.92 × 140,293.88
  4. Step 4: Simplify right side
    253,471.40x = 49,068,334,482.01
  5. Step 5: Solve for x
    x = 49,068,334,482.01/253,471.40
  6. Step 6: Final answer
    x = 193,585.29

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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.