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Finding the Fourth Proportional to 282,152.84, 389,369.85 and 154,830.56

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Solution

The fourth proportional to 282,152.84, 389,369.85 and 154,830.56 is: 213,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,152.84 : 389,369.85 = 154,830.56 : x
  2. Step 2: Convert to fraction form
    282,152.84/389,369.85 = 154,830.56/x
  3. Step 3: Cross multiply
    282,152.84x = 389,369.85 × 154,830.56
  4. Step 4: Simplify right side
    282,152.84x = 60,286,351,922.62
  5. Step 5: Solve for x
    x = 60,286,351,922.62/282,152.84
  6. Step 6: Final answer
    x = 213,665.59

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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.