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Finding the Fourth Proportional to 312,765.60, 468,785.49 and 143,931.48

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Solution

The fourth proportional to 312,765.60, 468,785.49 and 143,931.48 is: 215,730.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,765.60 : 468,785.49 = 143,931.48 : x
  2. Step 2: Convert to fraction form
    312,765.60/468,785.49 = 143,931.48/x
  3. Step 3: Cross multiply
    312,765.60x = 468,785.49 × 143,931.48
  4. Step 4: Simplify right side
    312,765.60x = 67,472,986,314.64
  5. Step 5: Solve for x
    x = 67,472,986,314.64/312,765.60
  6. Step 6: Final answer
    x = 215,730.21

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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.