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Finding the Fourth Proportional to 414,520.80, 621,320.40 and 177,823.20

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Solution

The fourth proportional to 414,520.80, 621,320.40 and 177,823.20 is: 266,537.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,520.80 : 621,320.40 = 177,823.20 : x
  2. Step 2: Convert to fraction form
    414,520.80/621,320.40 = 177,823.20/x
  3. Step 3: Cross multiply
    414,520.80x = 621,320.40 × 177,823.20
  4. Step 4: Simplify right side
    414,520.80x = 110,485,181,753.28
  5. Step 5: Solve for x
    x = 110,485,181,753.28/414,520.80
  6. Step 6: Final answer
    x = 266,537.12

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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.