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Finding the Fourth Proportional to 391,674, 540,513.36 and 212,826

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Solution

The fourth proportional to 391,674, 540,513.36 and 212,826 is: 293,701.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,674 : 540,513.36 = 212,826 : x
  2. Step 2: Convert to fraction form
    391,674/540,513.36 = 212,826/x
  3. Step 3: Cross multiply
    391,674x = 540,513.36 × 212,826
  4. Step 4: Simplify right side
    391,674x = 115,035,296,355.36
  5. Step 5: Solve for x
    x = 115,035,296,355.36/391,674
  6. Step 6: Final answer
    x = 293,701.64

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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.