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Finding the Fourth Proportional to 408,595.20, 612,892.80 and 198,643.20

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Solution

The fourth proportional to 408,595.20, 612,892.80 and 198,643.20 is: 297,964.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,595.20 : 612,892.80 = 198,643.20 : x
  2. Step 2: Convert to fraction form
    408,595.20/612,892.80 = 198,643.20/x
  3. Step 3: Cross multiply
    408,595.20x = 612,892.80 × 198,643.20
  4. Step 4: Simplify right side
    408,595.20x = 121,746,987,048.96
  5. Step 5: Solve for x
    x = 121,746,987,048.96/408,595.20
  6. Step 6: Final answer
    x = 297,964.80

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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.