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Finding the Fourth Proportional to 460,081.32, 690,191.64 and 144,508.56

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Solution

The fourth proportional to 460,081.32, 690,191.64 and 144,508.56 is: 216,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,081.32 : 690,191.64 = 144,508.56 : x
  2. Step 2: Convert to fraction form
    460,081.32/690,191.64 = 144,508.56/x
  3. Step 3: Cross multiply
    460,081.32x = 690,191.64 × 144,508.56
  4. Step 4: Simplify right side
    460,081.32x = 99,738,600,020.44
  5. Step 5: Solve for x
    x = 99,738,600,020.44/460,081.32
  6. Step 6: Final answer
    x = 216,784.72

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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.