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Finding the Fourth Proportional to 512,448.85, 707,180.61 and 283,001.95

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Solution

The fourth proportional to 512,448.85, 707,180.61 and 283,001.95 is: 390,543.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,448.85 : 707,180.61 = 283,001.95 : x
  2. Step 2: Convert to fraction form
    512,448.85/707,180.61 = 283,001.95/x
  3. Step 3: Cross multiply
    512,448.85x = 707,180.61 × 283,001.95
  4. Step 4: Simplify right side
    512,448.85x = 200,133,491,632.19
  5. Step 5: Solve for x
    x = 200,133,491,632.19/512,448.85
  6. Step 6: Final answer
    x = 390,543.35

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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.