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Finding the Fourth Proportional to 391,407, 540,141.66 and 212,559

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Solution

The fourth proportional to 391,407, 540,141.66 and 212,559 is: 293,331.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,407 : 540,141.66 = 212,559 : x
  2. Step 2: Convert to fraction form
    391,407/540,141.66 = 212,559/x
  3. Step 3: Cross multiply
    391,407x = 540,141.66 × 212,559
  4. Step 4: Simplify right side
    391,407x = 114,811,971,107.94
  5. Step 5: Solve for x
    x = 114,811,971,107.94/391,407
  6. Step 6: Final answer
    x = 293,331.42

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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.