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Finding the Fourth Proportional to 323,602.14, 485,021.97 and 145,901.10

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Solution

The fourth proportional to 323,602.14, 485,021.97 and 145,901.10 is: 218,679.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,602.14 : 485,021.97 = 145,901.10 : x
  2. Step 2: Convert to fraction form
    323,602.14/485,021.97 = 145,901.10/x
  3. Step 3: Cross multiply
    323,602.14x = 485,021.97 × 145,901.10
  4. Step 4: Simplify right side
    323,602.14x = 70,765,238,947.17
  5. Step 5: Solve for x
    x = 70,765,238,947.17/323,602.14
  6. Step 6: Final answer
    x = 218,679.76

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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.