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Finding the Fourth Proportional to 397,019.68, 595,194.62 and 172,210.88

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Solution

The fourth proportional to 397,019.68, 595,194.62 and 172,210.88 is: 258,171.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,019.68 : 595,194.62 = 172,210.88 : x
  2. Step 2: Convert to fraction form
    397,019.68/595,194.62 = 172,210.88/x
  3. Step 3: Cross multiply
    397,019.68x = 595,194.62 × 172,210.88
  4. Step 4: Simplify right side
    397,019.68x = 102,498,989,281.47
  5. Step 5: Solve for x
    x = 102,498,989,281.47/397,019.68
  6. Step 6: Final answer
    x = 258,171.05

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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.