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Finding the Fourth Proportional to 475,640.91, 712,510.79 and 285,997.46

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Solution

The fourth proportional to 475,640.91, 712,510.79 and 285,997.46 is: 428,424.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,640.91 : 712,510.79 = 285,997.46 : x
  2. Step 2: Convert to fraction form
    475,640.91/712,510.79 = 285,997.46/x
  3. Step 3: Cross multiply
    475,640.91x = 712,510.79 × 285,997.46
  4. Step 4: Simplify right side
    475,640.91x = 203,776,271,170.05
  5. Step 5: Solve for x
    x = 203,776,271,170.05/475,640.91
  6. Step 6: Final answer
    x = 428,424.61

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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.