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Finding the Fourth Proportional to 510,885.88, 705,044.38 and 284,531.38

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Solution

The fourth proportional to 510,885.88, 705,044.38 and 284,531.38 is: 392,665.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,885.88 : 705,044.38 = 284,531.38 : x
  2. Step 2: Convert to fraction form
    510,885.88/705,044.38 = 284,531.38/x
  3. Step 3: Cross multiply
    510,885.88x = 705,044.38 × 284,531.38
  4. Step 4: Simplify right side
    510,885.88x = 200,607,250,402.64
  5. Step 5: Solve for x
    x = 200,607,250,402.64/510,885.88
  6. Step 6: Final answer
    x = 392,665.48

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1.5x scale

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.