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Finding the Fourth Proportional to 412,745.79, 619,118.82 and 272,471.61

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Solution

The fourth proportional to 412,745.79, 619,118.82 and 272,471.61 is: 408,707.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,745.79 : 619,118.82 = 272,471.61 : x
  2. Step 2: Convert to fraction form
    412,745.79/619,118.82 = 272,471.61/x
  3. Step 3: Cross multiply
    412,745.79x = 619,118.82 × 272,471.61
  4. Step 4: Simplify right side
    412,745.79x = 168,692,301,666.70
  5. Step 5: Solve for x
    x = 168,692,301,666.70/412,745.79
  6. Step 6: Final answer
    x = 408,707.50

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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.