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Finding the Fourth Proportional to 448,530, 672,795 and 307,862.16

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Solution

The fourth proportional to 448,530, 672,795 and 307,862.16 is: 461,793.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,530 : 672,795 = 307,862.16 : x
  2. Step 2: Convert to fraction form
    448,530/672,795 = 307,862.16/x
  3. Step 3: Cross multiply
    448,530x = 672,795 × 307,862.16
  4. Step 4: Simplify right side
    448,530x = 207,128,121,937.20
  5. Step 5: Solve for x
    x = 207,128,121,937.20/448,530
  6. Step 6: Final answer
    x = 461,793.24

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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.