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Finding the Fourth Proportional to 661,327.68, 992,119.20 and 282,242.88

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Solution

The fourth proportional to 661,327.68, 992,119.20 and 282,242.88 is: 423,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,327.68 : 992,119.20 = 282,242.88 : x
  2. Step 2: Convert to fraction form
    661,327.68/992,119.20 = 282,242.88/x
  3. Step 3: Cross multiply
    661,327.68x = 992,119.20 × 282,242.88
  4. Step 4: Simplify right side
    661,327.68x = 280,018,580,311.30
  5. Step 5: Solve for x
    x = 280,018,580,311.30/661,327.68
  6. Step 6: Final answer
    x = 423,418.81

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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.