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Finding the Fourth Proportional to 253,940, 350,437.20 and 140,780

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Solution

The fourth proportional to 253,940, 350,437.20 and 140,780 is: 194,276.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,940 : 350,437.20 = 140,780 : x
  2. Step 2: Convert to fraction form
    253,940/350,437.20 = 140,780/x
  3. Step 3: Cross multiply
    253,940x = 350,437.20 × 140,780
  4. Step 4: Simplify right side
    253,940x = 49,334,549,016
  5. Step 5: Solve for x
    x = 49,334,549,016/253,940
  6. Step 6: Final answer
    x = 194,276.40

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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.