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Finding the Fourth Proportional to 418,332.90, 627,249.86 and 165,649.66

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Solution

The fourth proportional to 418,332.90, 627,249.86 and 165,649.66 is: 248,375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,332.90 : 627,249.86 = 165,649.66 : x
  2. Step 2: Convert to fraction form
    418,332.90/627,249.86 = 165,649.66/x
  3. Step 3: Cross multiply
    418,332.90x = 627,249.86 × 165,649.66
  4. Step 4: Simplify right side
    418,332.90x = 103,903,724,268.86
  5. Step 5: Solve for x
    x = 103,903,724,268.86/418,332.90
  6. Step 6: Final answer
    x = 248,375.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.