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Finding the Fourth Proportional to 442,633.15, 663,986.30 and 186,539.82

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Solution

The fourth proportional to 442,633.15, 663,986.30 and 186,539.82 is: 279,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,633.15 : 663,986.30 = 186,539.82 : x
  2. Step 2: Convert to fraction form
    442,633.15/663,986.30 = 186,539.82/x
  3. Step 3: Cross multiply
    442,633.15x = 663,986.30 × 186,539.82
  4. Step 4: Simplify right side
    442,633.15x = 123,859,884,884.47
  5. Step 5: Solve for x
    x = 123,859,884,884.47/442,633.15
  6. Step 6: Final answer
    x = 279,825.14

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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.