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Finding the Fourth Proportional to 432,958.20, 650,312.10 and 418,086.60

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Solution

The fourth proportional to 432,958.20, 650,312.10 and 418,086.60 is: 627,974.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,958.20 : 650,312.10 = 418,086.60 : x
  2. Step 2: Convert to fraction form
    432,958.20/650,312.10 = 418,086.60/x
  3. Step 3: Cross multiply
    432,958.20x = 650,312.10 × 418,086.60
  4. Step 4: Simplify right side
    432,958.20x = 271,886,774,827.86
  5. Step 5: Solve for x
    x = 271,886,774,827.86/432,958.20
  6. Step 6: Final answer
    x = 627,974.65

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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.