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Finding the Fourth Proportional to 761,625, 1,051,042.50 and 422,115.12

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Solution

The fourth proportional to 761,625, 1,051,042.50 and 422,115.12 is: 582,518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,625 : 1,051,042.50 = 422,115.12 : x
  2. Step 2: Convert to fraction form
    761,625/1,051,042.50 = 422,115.12/x
  3. Step 3: Cross multiply
    761,625x = 1,051,042.50 × 422,115.12
  4. Step 4: Simplify right side
    761,625x = 443,660,931,012.60
  5. Step 5: Solve for x
    x = 443,660,931,012.60/761,625
  6. Step 6: Final answer
    x = 582,518.87

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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.