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Finding the Fourth Proportional to 281,400.84, 388,342.92 and 154,077.30

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Solution

The fourth proportional to 281,400.84, 388,342.92 and 154,077.30 is: 212,632.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,400.84 : 388,342.92 = 154,077.30 : x
  2. Step 2: Convert to fraction form
    281,400.84/388,342.92 = 154,077.30/x
  3. Step 3: Cross multiply
    281,400.84x = 388,342.92 × 154,077.30
  4. Step 4: Simplify right side
    281,400.84x = 59,834,828,587.72
  5. Step 5: Solve for x
    x = 59,834,828,587.72/281,400.84
  6. Step 6: Final answer
    x = 212,632.02

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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.