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Finding the Fourth Proportional to 311,513.79, 467,270.64 and 74,856.47

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Solution

The fourth proportional to 311,513.79, 467,270.64 and 74,856.47 is: 112,284.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,513.79 : 467,270.64 = 74,856.47 : x
  2. Step 2: Convert to fraction form
    311,513.79/467,270.64 = 74,856.47/x
  3. Step 3: Cross multiply
    311,513.79x = 467,270.64 × 74,856.47
  4. Step 4: Simplify right side
    311,513.79x = 34,978,230,270.76
  5. Step 5: Solve for x
    x = 34,978,230,270.76/311,513.79
  6. Step 6: Final answer
    x = 112,284.69

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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.