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Finding the Fourth Proportional to 298,339.59, 447,706.26 and 140,613.15

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Solution

The fourth proportional to 298,339.59, 447,706.26 and 140,613.15 is: 211,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,339.59 : 447,706.26 = 140,613.15 : x
  2. Step 2: Convert to fraction form
    298,339.59/447,706.26 = 140,613.15/x
  3. Step 3: Cross multiply
    298,339.59x = 447,706.26 × 140,613.15
  4. Step 4: Simplify right side
    298,339.59x = 62,953,387,493.32
  5. Step 5: Solve for x
    x = 62,953,387,493.32/298,339.59
  6. Step 6: Final answer
    x = 211,012.52

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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.