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Finding the Fourth Proportional to 408,047.78, 612,272.55 and 183,566.90

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Solution

The fourth proportional to 408,047.78, 612,272.55 and 183,566.90 is: 275,440.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,047.78 : 612,272.55 = 183,566.90 : x
  2. Step 2: Convert to fraction form
    408,047.78/612,272.55 = 183,566.90/x
  3. Step 3: Cross multiply
    408,047.78x = 612,272.55 × 183,566.90
  4. Step 4: Simplify right side
    408,047.78x = 112,392,973,958.60
  5. Step 5: Solve for x
    x = 112,392,973,958.60/408,047.78
  6. Step 6: Final answer
    x = 275,440.72

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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.