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Finding the Fourth Proportional to 448,649.30, 672,743.10 and 133,065.20

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Solution

The fourth proportional to 448,649.30, 672,743.10 and 133,065.20 is: 199,529.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,649.30 : 672,743.10 = 133,065.20 : x
  2. Step 2: Convert to fraction form
    448,649.30/672,743.10 = 133,065.20/x
  3. Step 3: Cross multiply
    448,649.30x = 672,743.10 × 133,065.20
  4. Step 4: Simplify right side
    448,649.30x = 89,518,695,150.12
  5. Step 5: Solve for x
    x = 89,518,695,150.12/448,649.30
  6. Step 6: Final answer
    x = 199,529.33

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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.