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Finding the Fourth Proportional to 312,763.80, 469,458.24 and 172,588.44

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Solution

The fourth proportional to 312,763.80, 469,458.24 and 172,588.44 is: 259,055.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,763.80 : 469,458.24 = 172,588.44 : x
  2. Step 2: Convert to fraction form
    312,763.80/469,458.24 = 172,588.44/x
  3. Step 3: Cross multiply
    312,763.80x = 469,458.24 × 172,588.44
  4. Step 4: Simplify right side
    312,763.80x = 81,023,065,286.75
  5. Step 5: Solve for x
    x = 81,023,065,286.75/312,763.80
  6. Step 6: Final answer
    x = 259,055.12

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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.