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Finding the Fourth Proportional to 417,474.65, 627,074.46 and 399,281.54

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Solution

The fourth proportional to 417,474.65, 627,074.46 and 399,281.54 is: 599,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,474.65 : 627,074.46 = 399,281.54 : x
  2. Step 2: Convert to fraction form
    417,474.65/627,074.46 = 399,281.54/x
  3. Step 3: Cross multiply
    417,474.65x = 627,074.46 × 399,281.54
  4. Step 4: Simplify right side
    417,474.65x = 250,379,252,948.10
  5. Step 5: Solve for x
    x = 250,379,252,948.10/417,474.65
  6. Step 6: Final answer
    x = 599,747.20

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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.