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Finding the Fourth Proportional to 512,638.20, 702,302.67 and 493,470.90

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Solution

The fourth proportional to 512,638.20, 702,302.67 and 493,470.90 is: 676,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,638.20 : 702,302.67 = 493,470.90 : x
  2. Step 2: Convert to fraction form
    512,638.20/702,302.67 = 493,470.90/x
  3. Step 3: Cross multiply
    512,638.20x = 702,302.67 × 493,470.90
  4. Step 4: Simplify right side
    512,638.20x = 346,565,930,637.30
  5. Step 5: Solve for x
    x = 346,565,930,637.30/512,638.20
  6. Step 6: Final answer
    x = 676,043.91

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.