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Finding the Fourth Proportional to 407,452.47, 611,287.41 and 141,212.76

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Solution

The fourth proportional to 407,452.47, 611,287.41 and 141,212.76 is: 211,856.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,452.47 : 611,287.41 = 141,212.76 : x
  2. Step 2: Convert to fraction form
    407,452.47/611,287.41 = 141,212.76/x
  3. Step 3: Cross multiply
    407,452.47x = 611,287.41 × 141,212.76
  4. Step 4: Simplify right side
    407,452.47x = 86,321,582,319.35
  5. Step 5: Solve for x
    x = 86,321,582,319.35/407,452.47
  6. Step 6: Final answer
    x = 211,856.81

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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.