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Finding the Fourth Proportional to 775,586.28, 1,069,872 and 465,408.66

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Solution

The fourth proportional to 775,586.28, 1,069,872 and 465,408.66 is: 642,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,586.28 : 1,069,872 = 465,408.66 : x
  2. Step 2: Convert to fraction form
    775,586.28/1,069,872 = 465,408.66/x
  3. Step 3: Cross multiply
    775,586.28x = 1,069,872 × 465,408.66
  4. Step 4: Simplify right side
    775,586.28x = 497,927,693,891.52
  5. Step 5: Solve for x
    x = 497,927,693,891.52/775,586.28
  6. Step 6: Final answer
    x = 642,001.68

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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.