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Finding the Fourth Proportional to 397,382.20, 596,178.90 and 172,646.20

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Solution

The fourth proportional to 397,382.20, 596,178.90 and 172,646.20 is: 259,015.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,382.20 : 596,178.90 = 172,646.20 : x
  2. Step 2: Convert to fraction form
    397,382.20/596,178.90 = 172,646.20/x
  3. Step 3: Cross multiply
    397,382.20x = 596,178.90 × 172,646.20
  4. Step 4: Simplify right side
    397,382.20x = 102,928,021,605.18
  5. Step 5: Solve for x
    x = 102,928,021,605.18/397,382.20
  6. Step 6: Final answer
    x = 259,015.18

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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.