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Finding the Fourth Proportional to 497,632.20, 746,448.30 and 408,985.80

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Solution

The fourth proportional to 497,632.20, 746,448.30 and 408,985.80 is: 613,478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,632.20 : 746,448.30 = 408,985.80 : x
  2. Step 2: Convert to fraction form
    497,632.20/746,448.30 = 408,985.80/x
  3. Step 3: Cross multiply
    497,632.20x = 746,448.30 × 408,985.80
  4. Step 4: Simplify right side
    497,632.20x = 305,286,755,134.14
  5. Step 5: Solve for x
    x = 305,286,755,134.14/497,632.20
  6. Step 6: Final answer
    x = 613,478.70

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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.