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Finding the Fourth Proportional to 408,403.20, 611,498.88 and 210,996.48

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Solution

The fourth proportional to 408,403.20, 611,498.88 and 210,996.48 is: 315,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,403.20 : 611,498.88 = 210,996.48 : x
  2. Step 2: Convert to fraction form
    408,403.20/611,498.88 = 210,996.48/x
  3. Step 3: Cross multiply
    408,403.20x = 611,498.88 × 210,996.48
  4. Step 4: Simplify right side
    408,403.20x = 129,024,111,203.94
  5. Step 5: Solve for x
    x = 129,024,111,203.94/408,403.20
  6. Step 6: Final answer
    x = 315,923.36

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1.5x scale

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.