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Finding the Fourth Proportional to 391,662, 540,496.80 and 212,814

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Solution

The fourth proportional to 391,662, 540,496.80 and 212,814 is: 293,685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,662 : 540,496.80 = 212,814 : x
  2. Step 2: Convert to fraction form
    391,662/540,496.80 = 212,814/x
  3. Step 3: Cross multiply
    391,662x = 540,496.80 × 212,814
  4. Step 4: Simplify right side
    391,662x = 115,025,285,995.20
  5. Step 5: Solve for x
    x = 115,025,285,995.20/391,662
  6. Step 6: Final answer
    x = 293,685.08

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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.