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Finding the Fourth Proportional to 468,049.23, 645,911.09 and 286,761.51

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Solution

The fourth proportional to 468,049.23, 645,911.09 and 286,761.51 is: 395,732.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,049.23 : 645,911.09 = 286,761.51 : x
  2. Step 2: Convert to fraction form
    468,049.23/645,911.09 = 286,761.51/x
  3. Step 3: Cross multiply
    468,049.23x = 645,911.09 × 286,761.51
  4. Step 4: Simplify right side
    468,049.23x = 185,222,438,060.34
  5. Step 5: Solve for x
    x = 185,222,438,060.34/468,049.23
  6. Step 6: Final answer
    x = 395,732.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.