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Finding the Fourth Proportional to 282,961.80, 390,481.43 and 153,902.84

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Solution

The fourth proportional to 282,961.80, 390,481.43 and 153,902.84 is: 212,382.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,961.80 : 390,481.43 = 153,902.84 : x
  2. Step 2: Convert to fraction form
    282,961.80/390,481.43 = 153,902.84/x
  3. Step 3: Cross multiply
    282,961.80x = 390,481.43 × 153,902.84
  4. Step 4: Simplify right side
    282,961.80x = 60,096,198,322.34
  5. Step 5: Solve for x
    x = 60,096,198,322.34/282,961.80
  6. Step 6: Final answer
    x = 212,382.73

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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.