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Finding the Fourth Proportional to 312,585, 468,712.26 and 143,958.12

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Solution

The fourth proportional to 312,585, 468,712.26 and 143,958.12 is: 215,861.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,585 : 468,712.26 = 143,958.12 : x
  2. Step 2: Convert to fraction form
    312,585/468,712.26 = 143,958.12/x
  3. Step 3: Cross multiply
    312,585x = 468,712.26 × 143,958.12
  4. Step 4: Simplify right side
    312,585x = 67,474,935,770.55
  5. Step 5: Solve for x
    x = 67,474,935,770.55/312,585
  6. Step 6: Final answer
    x = 215,861.08

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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.