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Finding the Fourth Proportional to 414,475.20, 621,712.80 and 177,777.60

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Solution

The fourth proportional to 414,475.20, 621,712.80 and 177,777.60 is: 266,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,475.20 : 621,712.80 = 177,777.60 : x
  2. Step 2: Convert to fraction form
    414,475.20/621,712.80 = 177,777.60/x
  3. Step 3: Cross multiply
    414,475.20x = 621,712.80 × 177,777.60
  4. Step 4: Simplify right side
    414,475.20x = 110,526,609,473.28
  5. Step 5: Solve for x
    x = 110,526,609,473.28/414,475.20
  6. Step 6: Final answer
    x = 266,666.40

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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.