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Finding the Fourth Proportional to 218,410.96, 327,397.56 and 139,614.16

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Solution

The fourth proportional to 218,410.96, 327,397.56 and 139,614.16 is: 209,281.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,410.96 : 327,397.56 = 139,614.16 : x
  2. Step 2: Convert to fraction form
    218,410.96/327,397.56 = 139,614.16/x
  3. Step 3: Cross multiply
    218,410.96x = 327,397.56 × 139,614.16
  4. Step 4: Simplify right side
    218,410.96x = 45,709,335,325.45
  5. Step 5: Solve for x
    x = 45,709,335,325.45/218,410.96
  6. Step 6: Final answer
    x = 209,281.33

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1.5x scale

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.