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Finding the Fourth Proportional to 512,876.13, 707,771.22 and 280,307.76

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Solution

The fourth proportional to 512,876.13, 707,771.22 and 280,307.76 is: 386,825.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,876.13 : 707,771.22 = 280,307.76 : x
  2. Step 2: Convert to fraction form
    512,876.13/707,771.22 = 280,307.76/x
  3. Step 3: Cross multiply
    512,876.13x = 707,771.22 × 280,307.76
  4. Step 4: Simplify right side
    512,876.13x = 198,393,765,270.67
  5. Step 5: Solve for x
    x = 198,393,765,270.67/512,876.13
  6. Step 6: Final answer
    x = 386,825.89

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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.