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Finding the Fourth Proportional to 512,272.82, 706,937.47 and 282,830.55

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Solution

The fourth proportional to 512,272.82, 706,937.47 and 282,830.55 is: 390,306.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,272.82 : 706,937.47 = 282,830.55 : x
  2. Step 2: Convert to fraction form
    512,272.82/706,937.47 = 282,830.55/x
  3. Step 3: Cross multiply
    512,272.82x = 706,937.47 × 282,830.55
  4. Step 4: Simplify right side
    512,272.82x = 199,943,515,665.06
  5. Step 5: Solve for x
    x = 199,943,515,665.06/512,272.82
  6. Step 6: Final answer
    x = 390,306.70

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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.