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Finding the Fourth Proportional to 264,201, 396,218.30 and 86,666.76

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Solution

The fourth proportional to 264,201, 396,218.30 and 86,666.76 is: 129,972.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,201 : 396,218.30 = 86,666.76 : x
  2. Step 2: Convert to fraction form
    264,201/396,218.30 = 86,666.76/x
  3. Step 3: Cross multiply
    264,201x = 396,218.30 × 86,666.76
  4. Step 4: Simplify right side
    264,201x = 34,338,956,313.71
  5. Step 5: Solve for x
    x = 34,338,956,313.71/264,201
  6. Step 6: Final answer
    x = 129,972.85

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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.