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Finding the Fourth Proportional to 281,422.80, 388,364.07 and 152,362.62

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Solution

The fourth proportional to 281,422.80, 388,364.07 and 152,362.62 is: 210,260.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,422.80 : 388,364.07 = 152,362.62 : x
  2. Step 2: Convert to fraction form
    281,422.80/388,364.07 = 152,362.62/x
  3. Step 3: Cross multiply
    281,422.80x = 388,364.07 × 152,362.62
  4. Step 4: Simplify right side
    281,422.80x = 59,172,167,219.06
  5. Step 5: Solve for x
    x = 59,172,167,219.06/281,422.80
  6. Step 6: Final answer
    x = 210,260.74

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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.