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Finding the Fourth Proportional to 448,080.80, 672,121.20 and 413,866.40

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Solution

The fourth proportional to 448,080.80, 672,121.20 and 413,866.40 is: 620,799.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,080.80 : 672,121.20 = 413,866.40 : x
  2. Step 2: Convert to fraction form
    448,080.80/672,121.20 = 413,866.40/x
  3. Step 3: Cross multiply
    448,080.80x = 672,121.20 × 413,866.40
  4. Step 4: Simplify right side
    448,080.80x = 278,168,381,407.68
  5. Step 5: Solve for x
    x = 278,168,381,407.68/448,080.80
  6. Step 6: Final answer
    x = 620,799.60

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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.