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Finding the Fourth Proportional to 314,964.64, 471,694.27 and 172,595.80

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Solution

The fourth proportional to 314,964.64, 471,694.27 and 172,595.80 is: 258,481.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,964.64 : 471,694.27 = 172,595.80 : x
  2. Step 2: Convert to fraction form
    314,964.64/471,694.27 = 172,595.80/x
  3. Step 3: Cross multiply
    314,964.64x = 471,694.27 × 172,595.80
  4. Step 4: Simplify right side
    314,964.64x = 81,412,449,886.07
  5. Step 5: Solve for x
    x = 81,412,449,886.07/314,964.64
  6. Step 6: Final answer
    x = 258,481.24

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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.