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Finding the Fourth Proportional to 282,052.25, 389,230.17 and 152,990.20

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Solution

The fourth proportional to 282,052.25, 389,230.17 and 152,990.20 is: 211,125.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,052.25 : 389,230.17 = 152,990.20 : x
  2. Step 2: Convert to fraction form
    282,052.25/389,230.17 = 152,990.20/x
  3. Step 3: Cross multiply
    282,052.25x = 389,230.17 × 152,990.20
  4. Step 4: Simplify right side
    282,052.25x = 59,548,401,554.33
  5. Step 5: Solve for x
    x = 59,548,401,554.33/282,052.25
  6. Step 6: Final answer
    x = 211,125.43

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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.