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Finding the Fourth Proportional to 311,695.22, 430,141.37 and 168,454.92

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Solution

The fourth proportional to 311,695.22, 430,141.37 and 168,454.92 is: 232,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,695.22 : 430,141.37 = 168,454.92 : x
  2. Step 2: Convert to fraction form
    311,695.22/430,141.37 = 168,454.92/x
  3. Step 3: Cross multiply
    311,695.22x = 430,141.37 × 168,454.92
  4. Step 4: Simplify right side
    311,695.22x = 72,459,430,072.04
  5. Step 5: Solve for x
    x = 72,459,430,072.04/311,695.22
  6. Step 6: Final answer
    x = 232,468.85

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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.