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Finding the Fourth Proportional to 299,123.70, 412,792.00 and 163,160.57

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Solution

The fourth proportional to 299,123.70, 412,792.00 and 163,160.57 is: 225,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.70 : 412,792.00 = 163,160.57 : x
  2. Step 2: Convert to fraction form
    299,123.70/412,792.00 = 163,160.57/x
  3. Step 3: Cross multiply
    299,123.70x = 412,792.00 × 163,160.57
  4. Step 4: Simplify right side
    299,123.70x = 67,351,378,635.52
  5. Step 5: Solve for x
    x = 67,351,378,635.52/299,123.70
  6. Step 6: Final answer
    x = 225,162.30

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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.