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Finding the Fourth Proportional to 306,120.72, 459,228.40 and 156,279.68

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Solution

The fourth proportional to 306,120.72, 459,228.40 and 156,279.68 is: 234,443.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,120.72 : 459,228.40 = 156,279.68 : x
  2. Step 2: Convert to fraction form
    306,120.72/459,228.40 = 156,279.68/x
  3. Step 3: Cross multiply
    306,120.72x = 459,228.40 × 156,279.68
  4. Step 4: Simplify right side
    306,120.72x = 71,768,067,398.91
  5. Step 5: Solve for x
    x = 71,768,067,398.91/306,120.72
  6. Step 6: Final answer
    x = 234,443.68

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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.