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Finding the Fourth Proportional to 414,215.50, 620,531.70 and 347,176.66

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Solution

The fourth proportional to 414,215.50, 620,531.70 and 347,176.66 is: 520,101.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,215.50 : 620,531.70 = 347,176.66 : x
  2. Step 2: Convert to fraction form
    414,215.50/620,531.70 = 347,176.66/x
  3. Step 3: Cross multiply
    414,215.50x = 620,531.70 × 347,176.66
  4. Step 4: Simplify right side
    414,215.50x = 215,434,123,030.12
  5. Step 5: Solve for x
    x = 215,434,123,030.12/414,215.50
  6. Step 6: Final answer
    x = 520,101.55

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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.