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Finding the Fourth Proportional to 312,149.82, 430,767.91 and 168,909.87

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Solution

The fourth proportional to 312,149.82, 430,767.91 and 168,909.87 is: 233,096.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,149.82 : 430,767.91 = 168,909.87 : x
  2. Step 2: Convert to fraction form
    312,149.82/430,767.91 = 168,909.87/x
  3. Step 3: Cross multiply
    312,149.82x = 430,767.91 × 168,909.87
  4. Step 4: Simplify right side
    312,149.82x = 72,760,951,678.27
  5. Step 5: Solve for x
    x = 72,760,951,678.27/312,149.82
  6. Step 6: Final answer
    x = 233,096.25

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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.