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Finding the Fourth Proportional to 281,640, 388,663.20 and 154,320.15

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Solution

The fourth proportional to 281,640, 388,663.20 and 154,320.15 is: 212,961.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,640 : 388,663.20 = 154,320.15 : x
  2. Step 2: Convert to fraction form
    281,640/388,663.20 = 154,320.15/x
  3. Step 3: Cross multiply
    281,640x = 388,663.20 × 154,320.15
  4. Step 4: Simplify right side
    281,640x = 59,978,563,323.48
  5. Step 5: Solve for x
    x = 59,978,563,323.48/281,640
  6. Step 6: Final answer
    x = 212,961.81

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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.