Home / 820,010.30-1,229,140.65-314,375.90

Finding the Fourth Proportional to 820,010.30, 1,229,140.65 and 314,375.90

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Solution

The fourth proportional to 820,010.30, 1,229,140.65 and 314,375.90 is: 471,228.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,010.30 : 1,229,140.65 = 314,375.90 : x
  2. Step 2: Convert to fraction form
    820,010.30/1,229,140.65 = 314,375.90/x
  3. Step 3: Cross multiply
    820,010.30x = 1,229,140.65 × 314,375.90
  4. Step 4: Simplify right side
    820,010.30x = 386,412,198,070.34
  5. Step 5: Solve for x
    x = 386,412,198,070.34/820,010.30
  6. Step 6: Final answer
    x = 471,228.47

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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.