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Finding the Fourth Proportional to 391,808, 540,695.04 and 212,960

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Solution

The fourth proportional to 391,808, 540,695.04 and 212,960 is: 293,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,808 : 540,695.04 = 212,960 : x
  2. Step 2: Convert to fraction form
    391,808/540,695.04 = 212,960/x
  3. Step 3: Cross multiply
    391,808x = 540,695.04 × 212,960
  4. Step 4: Simplify right side
    391,808x = 115,146,415,718.40
  5. Step 5: Solve for x
    x = 115,146,415,718.40/391,808
  6. Step 6: Final answer
    x = 293,884.80

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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.