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Finding the Fourth Proportional to 486,145.20, 727,662.60 and 448,820.40

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Solution

The fourth proportional to 486,145.20, 727,662.60 and 448,820.40 is: 671,794.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,145.20 : 727,662.60 = 448,820.40 : x
  2. Step 2: Convert to fraction form
    486,145.20/727,662.60 = 448,820.40/x
  3. Step 3: Cross multiply
    486,145.20x = 727,662.60 × 448,820.40
  4. Step 4: Simplify right side
    486,145.20x = 326,589,819,197.04
  5. Step 5: Solve for x
    x = 326,589,819,197.04/486,145.20
  6. Step 6: Final answer
    x = 671,794.80

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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.