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Finding the Fourth Proportional to 460,508.32, 690,728.76 and 145,055.44

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Solution

The fourth proportional to 460,508.32, 690,728.76 and 145,055.44 is: 217,572.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,508.32 : 690,728.76 = 145,055.44 : x
  2. Step 2: Convert to fraction form
    460,508.32/690,728.76 = 145,055.44/x
  3. Step 3: Cross multiply
    460,508.32x = 690,728.76 × 145,055.44
  4. Step 4: Simplify right side
    460,508.32x = 100,193,964,202.45
  5. Step 5: Solve for x
    x = 100,193,964,202.45/460,508.32
  6. Step 6: Final answer
    x = 217,572.54

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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.