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Finding the Fourth Proportional to 306,087, 459,156.96 and 84,471

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Solution

The fourth proportional to 306,087, 459,156.96 and 84,471 is: 126,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,087 : 459,156.96 = 84,471 : x
  2. Step 2: Convert to fraction form
    306,087/459,156.96 = 84,471/x
  3. Step 3: Cross multiply
    306,087x = 459,156.96 × 84,471
  4. Step 4: Simplify right side
    306,087x = 38,785,447,568.16
  5. Step 5: Solve for x
    x = 38,785,447,568.16/306,087
  6. Step 6: Final answer
    x = 126,713.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.