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Finding the Fourth Proportional to 512,818.20, 707,730.48 and 283,395.69

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Solution

The fourth proportional to 512,818.20, 707,730.48 and 283,395.69 is: 391,108.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,818.20 : 707,730.48 = 283,395.69 : x
  2. Step 2: Convert to fraction form
    512,818.20/707,730.48 = 283,395.69/x
  3. Step 3: Cross multiply
    512,818.20x = 707,730.48 × 283,395.69
  4. Step 4: Simplify right side
    512,818.20x = 200,567,767,713.63
  5. Step 5: Solve for x
    x = 200,567,767,713.63/512,818.20
  6. Step 6: Final answer
    x = 391,108.91

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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.