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Finding the Fourth Proportional to 340,761.60, 510,964.80 and 127,354.08

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Solution

The fourth proportional to 340,761.60, 510,964.80 and 127,354.08 is: 190,964.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,761.60 : 510,964.80 = 127,354.08 : x
  2. Step 2: Convert to fraction form
    340,761.60/510,964.80 = 127,354.08/x
  3. Step 3: Cross multiply
    340,761.60x = 510,964.80 × 127,354.08
  4. Step 4: Simplify right side
    340,761.60x = 65,073,452,016.38
  5. Step 5: Solve for x
    x = 65,073,452,016.38/340,761.60
  6. Step 6: Final answer
    x = 190,964.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.