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Finding the Fourth Proportional to 397,712.88, 596,277.72 and 187,236

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Solution

The fourth proportional to 397,712.88, 596,277.72 and 187,236 is: 280,716.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,712.88 : 596,277.72 = 187,236 : x
  2. Step 2: Convert to fraction form
    397,712.88/596,277.72 = 187,236/x
  3. Step 3: Cross multiply
    397,712.88x = 596,277.72 × 187,236
  4. Step 4: Simplify right side
    397,712.88x = 111,644,655,181.92
  5. Step 5: Solve for x
    x = 111,644,655,181.92/397,712.88
  6. Step 6: Final answer
    x = 280,716.72

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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.