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Finding the Fourth Proportional to 465,398.86, 642,212.58 and 261,438.70

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Solution

The fourth proportional to 465,398.86, 642,212.58 and 261,438.70 is: 360,764.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,398.86 : 642,212.58 = 261,438.70 : x
  2. Step 2: Convert to fraction form
    465,398.86/642,212.58 = 261,438.70/x
  3. Step 3: Cross multiply
    465,398.86x = 642,212.58 × 261,438.70
  4. Step 4: Simplify right side
    465,398.86x = 167,899,222,038.85
  5. Step 5: Solve for x
    x = 167,899,222,038.85/465,398.86
  6. Step 6: Final answer
    x = 360,764.15

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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.