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Finding the Fourth Proportional to 587,906.72, 811,458.24 and 361,421

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Solution

The fourth proportional to 587,906.72, 811,458.24 and 361,421 is: 498,851.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,906.72 : 811,458.24 = 361,421 : x
  2. Step 2: Convert to fraction form
    587,906.72/811,458.24 = 361,421/x
  3. Step 3: Cross multiply
    587,906.72x = 811,458.24 × 361,421
  4. Step 4: Simplify right side
    587,906.72x = 293,278,048,559.04
  5. Step 5: Solve for x
    x = 293,278,048,559.04/587,906.72
  6. Step 6: Final answer
    x = 498,851.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.