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Finding the Fourth Proportional to 312,278.80, 468,369.60 and 87,617.20

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Solution

The fourth proportional to 312,278.80, 468,369.60 and 87,617.20 is: 131,412.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,278.80 : 468,369.60 = 87,617.20 : x
  2. Step 2: Convert to fraction form
    312,278.80/468,369.60 = 87,617.20/x
  3. Step 3: Cross multiply
    312,278.80x = 468,369.60 × 87,617.20
  4. Step 4: Simplify right side
    312,278.80x = 41,037,232,917.12
  5. Step 5: Solve for x
    x = 41,037,232,917.12/312,278.80
  6. Step 6: Final answer
    x = 131,412.16

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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.