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Finding the Fourth Proportional to 408,043.78, 612,266.55 and 183,562.90

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Solution

The fourth proportional to 408,043.78, 612,266.55 and 183,562.90 is: 275,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,043.78 : 612,266.55 = 183,562.90 : x
  2. Step 2: Convert to fraction form
    408,043.78/612,266.55 = 183,562.90/x
  3. Step 3: Cross multiply
    408,043.78x = 612,266.55 × 183,562.90
  4. Step 4: Simplify right side
    408,043.78x = 112,389,423,491.00
  5. Step 5: Solve for x
    x = 112,389,423,491.00/408,043.78
  6. Step 6: Final answer
    x = 275,434.72

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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.