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Finding the Fourth Proportional to 391,489, 540,255.36 and 212,641

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Solution

The fourth proportional to 391,489, 540,255.36 and 212,641 is: 293,444.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,489 : 540,255.36 = 212,641 : x
  2. Step 2: Convert to fraction form
    391,489/540,255.36 = 212,641/x
  3. Step 3: Cross multiply
    391,489x = 540,255.36 × 212,641
  4. Step 4: Simplify right side
    391,489x = 114,880,440,005.76
  5. Step 5: Solve for x
    x = 114,880,440,005.76/391,489
  6. Step 6: Final answer
    x = 293,444.87

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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.