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Finding the Fourth Proportional to 256,823, 354,417.12 and 143,645.72

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Solution

The fourth proportional to 256,823, 354,417.12 and 143,645.72 is: 198,231.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,823 : 354,417.12 = 143,645.72 : x
  2. Step 2: Convert to fraction form
    256,823/354,417.12 = 143,645.72/x
  3. Step 3: Cross multiply
    256,823x = 354,417.12 × 143,645.72
  4. Step 4: Simplify right side
    256,823x = 50,910,502,382.73
  5. Step 5: Solve for x
    x = 50,910,502,382.73/256,823
  6. Step 6: Final answer
    x = 198,231.87

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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.