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Finding the Fourth Proportional to 281,393.68, 388,324.38 and 154,068.16

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Solution

The fourth proportional to 281,393.68, 388,324.38 and 154,068.16 is: 212,614.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,393.68 : 388,324.38 = 154,068.16 : x
  2. Step 2: Convert to fraction form
    281,393.68/388,324.38 = 154,068.16/x
  3. Step 3: Cross multiply
    281,393.68x = 388,324.38 × 154,068.16
  4. Step 4: Simplify right side
    281,393.68x = 59,828,422,709.74
  5. Step 5: Solve for x
    x = 59,828,422,709.74/281,393.68
  6. Step 6: Final answer
    x = 212,614.66

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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.