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Finding the Fourth Proportional to 772,425, 1,158,639.12 and 329,193

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Solution

The fourth proportional to 772,425, 1,158,639.12 and 329,193 is: 493,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,425 : 1,158,639.12 = 329,193 : x
  2. Step 2: Convert to fraction form
    772,425/1,158,639.12 = 329,193/x
  3. Step 3: Cross multiply
    772,425x = 1,158,639.12 × 329,193
  4. Step 4: Simplify right side
    772,425x = 381,415,887,830.16
  5. Step 5: Solve for x
    x = 381,415,887,830.16/772,425
  6. Step 6: Final answer
    x = 493,790.19

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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.