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Finding the Fourth Proportional to 541,268, 811,905.36 and 141,905.18

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Solution

The fourth proportional to 541,268, 811,905.36 and 141,905.18 is: 212,858.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,268 : 811,905.36 = 141,905.18 : x
  2. Step 2: Convert to fraction form
    541,268/811,905.36 = 141,905.18/x
  3. Step 3: Cross multiply
    541,268x = 811,905.36 × 141,905.18
  4. Step 4: Simplify right side
    541,268x = 115,213,576,253.77
  5. Step 5: Solve for x
    x = 115,213,576,253.77/541,268
  6. Step 6: Final answer
    x = 212,858.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.