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Finding the Fourth Proportional to 465,365.97, 642,135.11 and 261,377.84

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Solution

The fourth proportional to 465,365.97, 642,135.11 and 261,377.84 is: 360,662.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,365.97 : 642,135.11 = 261,377.84 : x
  2. Step 2: Convert to fraction form
    465,365.97/642,135.11 = 261,377.84/x
  3. Step 3: Cross multiply
    465,365.97x = 642,135.11 × 261,377.84
  4. Step 4: Simplify right side
    465,365.97x = 167,839,883,522.40
  5. Step 5: Solve for x
    x = 167,839,883,522.40/465,365.97
  6. Step 6: Final answer
    x = 360,662.13

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1.5x scale

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.