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Finding the Fourth Proportional to 408,532.20, 612,798.30 and 198,580.20

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Solution

The fourth proportional to 408,532.20, 612,798.30 and 198,580.20 is: 297,870.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,532.20 : 612,798.30 = 198,580.20 : x
  2. Step 2: Convert to fraction form
    408,532.20/612,798.30 = 198,580.20/x
  3. Step 3: Cross multiply
    408,532.20x = 612,798.30 × 198,580.20
  4. Step 4: Simplify right side
    408,532.20x = 121,689,608,973.66
  5. Step 5: Solve for x
    x = 121,689,608,973.66/408,532.20
  6. Step 6: Final answer
    x = 297,870.30

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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.