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Finding the Fourth Proportional to 311,872.57, 430,384.40 and 168,632.71

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Solution

The fourth proportional to 311,872.57, 430,384.40 and 168,632.71 is: 232,713.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,872.57 : 430,384.40 = 168,632.71 : x
  2. Step 2: Convert to fraction form
    311,872.57/430,384.40 = 168,632.71/x
  3. Step 3: Cross multiply
    311,872.57x = 430,384.40 × 168,632.71
  4. Step 4: Simplify right side
    311,872.57x = 72,576,887,713.72
  5. Step 5: Solve for x
    x = 72,576,887,713.72/311,872.57
  6. Step 6: Final answer
    x = 232,713.28

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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.