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Finding the Fourth Proportional to 408,616.50, 612,927.48 and 142,382.10

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Solution

The fourth proportional to 408,616.50, 612,927.48 and 142,382.10 is: 213,574.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,616.50 : 612,927.48 = 142,382.10 : x
  2. Step 2: Convert to fraction form
    408,616.50/612,927.48 = 142,382.10/x
  3. Step 3: Cross multiply
    408,616.50x = 612,927.48 × 142,382.10
  4. Step 4: Simplify right side
    408,616.50x = 87,269,901,750.11
  5. Step 5: Solve for x
    x = 87,269,901,750.11/408,616.50
  6. Step 6: Final answer
    x = 213,574.10

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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.