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Finding the Fourth Proportional to 261,831.84, 361,310.64 and 154,396.80

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Solution

The fourth proportional to 261,831.84, 361,310.64 and 154,396.80 is: 213,057.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,831.84 : 361,310.64 = 154,396.80 : x
  2. Step 2: Convert to fraction form
    261,831.84/361,310.64 = 154,396.80/x
  3. Step 3: Cross multiply
    261,831.84x = 361,310.64 × 154,396.80
  4. Step 4: Simplify right side
    261,831.84x = 55,785,206,621.95
  5. Step 5: Solve for x
    x = 55,785,206,621.95/261,831.84
  6. Step 6: Final answer
    x = 213,057.38

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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.