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Finding the Fourth Proportional to 281,408.45, 388,340.70 and 152,344.04

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Solution

The fourth proportional to 281,408.45, 388,340.70 and 152,344.04 is: 210,233.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,408.45 : 388,340.70 = 152,344.04 : x
  2. Step 2: Convert to fraction form
    281,408.45/388,340.70 = 152,344.04/x
  3. Step 3: Cross multiply
    281,408.45x = 388,340.70 × 152,344.04
  4. Step 4: Simplify right side
    281,408.45x = 59,161,391,134.43
  5. Step 5: Solve for x
    x = 59,161,391,134.43/281,408.45
  6. Step 6: Final answer
    x = 210,233.17

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1.5x scale

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.