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Finding the Fourth Proportional to 281,499.78, 388,469.46 and 152,438.19

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Solution

The fourth proportional to 281,499.78, 388,469.46 and 152,438.19 is: 210,364.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,499.78 : 388,469.46 = 152,438.19 : x
  2. Step 2: Convert to fraction form
    281,499.78/388,469.46 = 152,438.19/x
  3. Step 3: Cross multiply
    281,499.78x = 388,469.46 × 152,438.19
  4. Step 4: Simplify right side
    281,499.78x = 59,217,581,352.68
  5. Step 5: Solve for x
    x = 59,217,581,352.68/281,499.78
  6. Step 6: Final answer
    x = 210,364.57

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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.