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Finding the Fourth Proportional to 281,376.14, 388,298.90 and 154,051.70

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Solution

The fourth proportional to 281,376.14, 388,298.90 and 154,051.70 is: 212,591.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,376.14 : 388,298.90 = 154,051.70 : x
  2. Step 2: Convert to fraction form
    281,376.14/388,298.90 = 154,051.70/x
  3. Step 3: Cross multiply
    281,376.14x = 388,298.90 × 154,051.70
  4. Step 4: Simplify right side
    281,376.14x = 59,818,104,882.87
  5. Step 5: Solve for x
    x = 59,818,104,882.87/281,376.14
  6. Step 6: Final answer
    x = 212,591.25

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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.