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Finding the Fourth Proportional to 510,862.89, 705,012.66 and 284,508.39

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Solution

The fourth proportional to 510,862.89, 705,012.66 and 284,508.39 is: 392,633.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,862.89 : 705,012.66 = 284,508.39 : x
  2. Step 2: Convert to fraction form
    510,862.89/705,012.66 = 284,508.39/x
  3. Step 3: Cross multiply
    510,862.89x = 705,012.66 × 284,508.39
  4. Step 4: Simplify right side
    510,862.89x = 200,582,016,826.22
  5. Step 5: Solve for x
    x = 200,582,016,826.22/510,862.89
  6. Step 6: Final answer
    x = 392,633.76

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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.