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Finding the Fourth Proportional to 253,456.42, 349,780.89 and 140,279.14

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Solution

The fourth proportional to 253,456.42, 349,780.89 and 140,279.14 is: 193,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,456.42 : 349,780.89 = 140,279.14 : x
  2. Step 2: Convert to fraction form
    253,456.42/349,780.89 = 140,279.14/x
  3. Step 3: Cross multiply
    253,456.42x = 349,780.89 × 140,279.14
  4. Step 4: Simplify right side
    253,456.42x = 49,066,962,437.63
  5. Step 5: Solve for x
    x = 49,066,962,437.63/253,456.42
  6. Step 6: Final answer
    x = 193,591.32

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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.