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Finding the Fourth Proportional to 512,955.78, 707,915.62 and 283,508.13

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Solution

The fourth proportional to 512,955.78, 707,915.62 and 283,508.13 is: 391,261.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,955.78 : 707,915.62 = 283,508.13 : x
  2. Step 2: Convert to fraction form
    512,955.78/707,915.62 = 283,508.13/x
  3. Step 3: Cross multiply
    512,955.78x = 707,915.62 × 283,508.13
  4. Step 4: Simplify right side
    512,955.78x = 200,699,837,430.43
  5. Step 5: Solve for x
    x = 200,699,837,430.43/512,955.78
  6. Step 6: Final answer
    x = 391,261.48

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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.