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Finding the Fourth Proportional to 463,397.70, 639,542.70 and 282,215.82

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Solution

The fourth proportional to 463,397.70, 639,542.70 and 282,215.82 is: 389,490.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,397.70 : 639,542.70 = 282,215.82 : x
  2. Step 2: Convert to fraction form
    463,397.70/639,542.70 = 282,215.82/x
  3. Step 3: Cross multiply
    463,397.70x = 639,542.70 × 282,215.82
  4. Step 4: Simplify right side
    463,397.70x = 180,489,067,505.51
  5. Step 5: Solve for x
    x = 180,489,067,505.51/463,397.70
  6. Step 6: Final answer
    x = 389,490.64

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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.