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Finding the Fourth Proportional to 397,107.86, 595,326.59 and 172,298.84

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Solution

The fourth proportional to 397,107.86, 595,326.59 and 172,298.84 is: 258,302.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,107.86 : 595,326.59 = 172,298.84 : x
  2. Step 2: Convert to fraction form
    397,107.86/595,326.59 = 172,298.84/x
  3. Step 3: Cross multiply
    397,107.86x = 595,326.59 × 172,298.84
  4. Step 4: Simplify right side
    397,107.86x = 102,574,080,016.66
  5. Step 5: Solve for x
    x = 102,574,080,016.66/397,107.86
  6. Step 6: Final answer
    x = 258,302.82

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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.