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Finding the Fourth Proportional to 442,749.71, 663,906.21 and 186,535.51

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Solution

The fourth proportional to 442,749.71, 663,906.21 and 186,535.51 is: 279,711.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,749.71 : 663,906.21 = 186,535.51 : x
  2. Step 2: Convert to fraction form
    442,749.71/663,906.21 = 186,535.51/x
  3. Step 3: Cross multiply
    442,749.71x = 663,906.21 × 186,535.51
  4. Step 4: Simplify right side
    442,749.71x = 123,842,081,115.24
  5. Step 5: Solve for x
    x = 123,842,081,115.24/442,749.71
  6. Step 6: Final answer
    x = 279,711.26

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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.