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Finding the Fourth Proportional to 391,410, 540,146.16 and 212,562

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Solution

The fourth proportional to 391,410, 540,146.16 and 212,562 is: 293,335.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,410 : 540,146.16 = 212,562 : x
  2. Step 2: Convert to fraction form
    391,410/540,146.16 = 212,562/x
  3. Step 3: Cross multiply
    391,410x = 540,146.16 × 212,562
  4. Step 4: Simplify right side
    391,410x = 114,814,548,061.92
  5. Step 5: Solve for x
    x = 114,814,548,061.92/391,410
  6. Step 6: Final answer
    x = 293,335.76

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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.