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Finding the Fourth Proportional to 240,288.40, 360,691.80 and 135,312.40

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Solution

The fourth proportional to 240,288.40, 360,691.80 and 135,312.40 is: 203,114.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,288.40 : 360,691.80 = 135,312.40 : x
  2. Step 2: Convert to fraction form
    240,288.40/360,691.80 = 135,312.40/x
  3. Step 3: Cross multiply
    240,288.40x = 360,691.80 × 135,312.40
  4. Step 4: Simplify right side
    240,288.40x = 48,806,073,118.32
  5. Step 5: Solve for x
    x = 48,806,073,118.32/240,288.40
  6. Step 6: Final answer
    x = 203,114.56

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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.