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Finding the Fourth Proportional to 656,010.56, 984,154.08 and 212,744

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Solution

The fourth proportional to 656,010.56, 984,154.08 and 212,744 is: 319,160.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,010.56 : 984,154.08 = 212,744 : x
  2. Step 2: Convert to fraction form
    656,010.56/984,154.08 = 212,744/x
  3. Step 3: Cross multiply
    656,010.56x = 984,154.08 × 212,744
  4. Step 4: Simplify right side
    656,010.56x = 209,372,875,595.52
  5. Step 5: Solve for x
    x = 209,372,875,595.52/656,010.56
  6. Step 6: Final answer
    x = 319,160.83

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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.