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Finding the Fourth Proportional to 408,148.80, 611,712.90 and 208,548.60

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Solution

The fourth proportional to 408,148.80, 611,712.90 and 208,548.60 is: 312,562.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,148.80 : 611,712.90 = 208,548.60 : x
  2. Step 2: Convert to fraction form
    408,148.80/611,712.90 = 208,548.60/x
  3. Step 3: Cross multiply
    408,148.80x = 611,712.90 × 208,548.60
  4. Step 4: Simplify right side
    408,148.80x = 127,571,868,896.94
  5. Step 5: Solve for x
    x = 127,571,868,896.94/408,148.80
  6. Step 6: Final answer
    x = 312,562.16

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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.