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Finding the Fourth Proportional to 408,316.80, 611,600.40 and 329,584.80

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Solution

The fourth proportional to 408,316.80, 611,600.40 and 329,584.80 is: 493,671.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,316.80 : 611,600.40 = 329,584.80 : x
  2. Step 2: Convert to fraction form
    408,316.80/611,600.40 = 329,584.80/x
  3. Step 3: Cross multiply
    408,316.80x = 611,600.40 × 329,584.80
  4. Step 4: Simplify right side
    408,316.80x = 201,574,195,513.92
  5. Step 5: Solve for x
    x = 201,574,195,513.92/408,316.80
  6. Step 6: Final answer
    x = 493,671.08

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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.