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Finding the Fourth Proportional to 408,047.28, 612,271.80 and 183,566.40

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Solution

The fourth proportional to 408,047.28, 612,271.80 and 183,566.40 is: 275,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.28 : 612,271.80 = 183,566.40 : x
  2. Step 2: Convert to fraction form
    408,047.28/612,271.80 = 183,566.40/x
  3. Step 3: Cross multiply
    408,047.28x = 612,271.80 × 183,566.40
  4. Step 4: Simplify right side
    408,047.28x = 112,392,530,147.52
  5. Step 5: Solve for x
    x = 112,392,530,147.52/408,047.28
  6. Step 6: Final answer
    x = 275,439.97

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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.