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Finding the Fourth Proportional to 312,132.72, 468,043.20 and 101,744.40

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Solution

The fourth proportional to 312,132.72, 468,043.20 and 101,744.40 is: 152,565.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,132.72 : 468,043.20 = 101,744.40 : x
  2. Step 2: Convert to fraction form
    312,132.72/468,043.20 = 101,744.40/x
  3. Step 3: Cross multiply
    312,132.72x = 468,043.20 × 101,744.40
  4. Step 4: Simplify right side
    312,132.72x = 47,620,774,558.08
  5. Step 5: Solve for x
    x = 47,620,774,558.08/312,132.72
  6. Step 6: Final answer
    x = 152,565.79

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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.