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Finding the Fourth Proportional to 311,871.57, 430,383.02 and 168,631.71

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Solution

The fourth proportional to 311,871.57, 430,383.02 and 168,631.71 is: 232,711.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,871.57 : 430,383.02 = 168,631.71 : x
  2. Step 2: Convert to fraction form
    311,871.57/430,383.02 = 168,631.71/x
  3. Step 3: Cross multiply
    311,871.57x = 430,383.02 × 168,631.71
  4. Step 4: Simplify right side
    311,871.57x = 72,576,223,774.41
  5. Step 5: Solve for x
    x = 72,576,223,774.41/311,871.57
  6. Step 6: Final answer
    x = 232,711.89

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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.