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Finding the Fourth Proportional to 407,339.06, 611,062.28 and 151,136.78

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Solution

The fourth proportional to 407,339.06, 611,062.28 and 151,136.78 is: 226,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,339.06 : 611,062.28 = 151,136.78 : x
  2. Step 2: Convert to fraction form
    407,339.06/611,062.28 = 151,136.78/x
  3. Step 3: Cross multiply
    407,339.06x = 611,062.28 × 151,136.78
  4. Step 4: Simplify right side
    407,339.06x = 92,353,981,567.66
  5. Step 5: Solve for x
    x = 92,353,981,567.66/407,339.06
  6. Step 6: Final answer
    x = 226,725.08

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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.