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Finding the Fourth Proportional to 397,452.30, 596,178.45 and 172,920.30

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Solution

The fourth proportional to 397,452.30, 596,178.45 and 172,920.30 is: 259,380.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,452.30 : 596,178.45 = 172,920.30 : x
  2. Step 2: Convert to fraction form
    397,452.30/596,178.45 = 172,920.30/x
  3. Step 3: Cross multiply
    397,452.30x = 596,178.45 × 172,920.30
  4. Step 4: Simplify right side
    397,452.30x = 103,091,356,427.54
  5. Step 5: Solve for x
    x = 103,091,356,427.54/397,452.30
  6. Step 6: Final answer
    x = 259,380.45

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Similar ratio
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1.5x scale

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.