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Finding the Fourth Proportional to 382,164.32, 527,382.96 and 212,394.80

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Solution

The fourth proportional to 382,164.32, 527,382.96 and 212,394.80 is: 293,102.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,164.32 : 527,382.96 = 212,394.80 : x
  2. Step 2: Convert to fraction form
    382,164.32/527,382.96 = 212,394.80/x
  3. Step 3: Cross multiply
    382,164.32x = 527,382.96 × 212,394.80
  4. Step 4: Simplify right side
    382,164.32x = 112,013,398,312.61
  5. Step 5: Solve for x
    x = 112,013,398,312.61/382,164.32
  6. Step 6: Final answer
    x = 293,102.71

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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.