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Finding the Fourth Proportional to 512,221.61, 706,847.27 and 282,773.97

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Solution

The fourth proportional to 512,221.61, 706,847.27 and 282,773.97 is: 390,217.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,221.61 : 706,847.27 = 282,773.97 : x
  2. Step 2: Convert to fraction form
    512,221.61/706,847.27 = 282,773.97/x
  3. Step 3: Cross multiply
    512,221.61x = 706,847.27 × 282,773.97
  4. Step 4: Simplify right side
    512,221.61x = 199,878,007,307.69
  5. Step 5: Solve for x
    x = 199,878,007,307.69/512,221.61
  6. Step 6: Final answer
    x = 390,217.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.