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Finding the Fourth Proportional to 512,136.71, 706,748.56 and 282,693.94

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Solution

The fourth proportional to 512,136.71, 706,748.56 and 282,693.94 is: 390,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,136.71 : 706,748.56 = 282,693.94 : x
  2. Step 2: Convert to fraction form
    512,136.71/706,748.56 = 282,693.94/x
  3. Step 3: Cross multiply
    512,136.71x = 706,748.56 × 282,693.94
  4. Step 4: Simplify right side
    512,136.71x = 199,793,536,517.58
  5. Step 5: Solve for x
    x = 199,793,536,517.58/512,136.71
  6. Step 6: Final answer
    x = 390,117.58

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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.