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Finding the Fourth Proportional to 306,141.40, 422,472.78 and 172,005.40

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Solution

The fourth proportional to 306,141.40, 422,472.78 and 172,005.40 is: 237,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,141.40 : 422,472.78 = 172,005.40 : x
  2. Step 2: Convert to fraction form
    306,141.40/422,472.78 = 172,005.40/x
  3. Step 3: Cross multiply
    306,141.40x = 422,472.78 × 172,005.40
  4. Step 4: Simplify right side
    306,141.40x = 72,667,599,513.01
  5. Step 5: Solve for x
    x = 72,667,599,513.01/306,141.40
  6. Step 6: Final answer
    x = 237,366.13

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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.