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Finding the Fourth Proportional to 391,493.50, 540,261.57 and 212,645.50

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Solution

The fourth proportional to 391,493.50, 540,261.57 and 212,645.50 is: 293,451.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,493.50 : 540,261.57 = 212,645.50 : x
  2. Step 2: Convert to fraction form
    391,493.50/540,261.57 = 212,645.50/x
  3. Step 3: Cross multiply
    391,493.50x = 540,261.57 × 212,645.50
  4. Step 4: Simplify right side
    391,493.50x = 114,884,191,683.44
  5. Step 5: Solve for x
    x = 114,884,191,683.44/391,493.50
  6. Step 6: Final answer
    x = 293,451.08

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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.