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Finding the Fourth Proportional to 465,285.31, 642,064.15 and 261,330.95

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Solution

The fourth proportional to 465,285.31, 642,064.15 and 261,330.95 is: 360,620.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,285.31 : 642,064.15 = 261,330.95 : x
  2. Step 2: Convert to fraction form
    465,285.31/642,064.15 = 261,330.95/x
  3. Step 3: Cross multiply
    465,285.31x = 642,064.15 × 261,330.95
  4. Step 4: Simplify right side
    465,285.31x = 167,791,236,212.27
  5. Step 5: Solve for x
    x = 167,791,236,212.27/465,285.31
  6. Step 6: Final answer
    x = 360,620.10

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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.