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Finding the Fourth Proportional to 646,115.74, 891,691.23 and 374,188.41

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Solution

The fourth proportional to 646,115.74, 891,691.23 and 374,188.41 is: 516,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,115.74 : 891,691.23 = 374,188.41 : x
  2. Step 2: Convert to fraction form
    646,115.74/891,691.23 = 374,188.41/x
  3. Step 3: Cross multiply
    646,115.74x = 891,691.23 × 374,188.41
  4. Step 4: Simplify right side
    646,115.74x = 333,660,524,967.85
  5. Step 5: Solve for x
    x = 333,660,524,967.85/646,115.74
  6. Step 6: Final answer
    x = 516,409.84

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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.