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Finding the Fourth Proportional to 460,200.80, 690,019.32 and 179,390

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Solution

The fourth proportional to 460,200.80, 690,019.32 and 179,390 is: 268,975.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,200.80 : 690,019.32 = 179,390 : x
  2. Step 2: Convert to fraction form
    460,200.80/690,019.32 = 179,390/x
  3. Step 3: Cross multiply
    460,200.80x = 690,019.32 × 179,390
  4. Step 4: Simplify right side
    460,200.80x = 123,782,565,814.80
  5. Step 5: Solve for x
    x = 123,782,565,814.80/460,200.80
  6. Step 6: Final answer
    x = 268,975.12

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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.