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Finding the Fourth Proportional to 311,863.42, 430,369.43 and 175,898.49

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Solution

The fourth proportional to 311,863.42, 430,369.43 and 175,898.49 is: 242,738.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,863.42 : 430,369.43 = 175,898.49 : x
  2. Step 2: Convert to fraction form
    311,863.42/430,369.43 = 175,898.49/x
  3. Step 3: Cross multiply
    311,863.42x = 430,369.43 × 175,898.49
  4. Step 4: Simplify right side
    311,863.42x = 75,701,332,879.16
  5. Step 5: Solve for x
    x = 75,701,332,879.16/311,863.42
  6. Step 6: Final answer
    x = 242,738.74

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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.