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Finding the Fourth Proportional to 311,962.92, 430,508.82 and 168,722.98

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Solution

The fourth proportional to 311,962.92, 430,508.82 and 168,722.98 is: 232,837.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,962.92 : 430,508.82 = 168,722.98 : x
  2. Step 2: Convert to fraction form
    311,962.92/430,508.82 = 168,722.98/x
  3. Step 3: Cross multiply
    311,962.92x = 430,508.82 × 168,722.98
  4. Step 4: Simplify right side
    311,962.92x = 72,636,731,026.68
  5. Step 5: Solve for x
    x = 72,636,731,026.68/311,962.92
  6. Step 6: Final answer
    x = 232,837.71

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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.