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Finding the Fourth Proportional to 286,589.84, 395,077.14 and 200,280.87

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Solution

The fourth proportional to 286,589.84, 395,077.14 and 200,280.87 is: 276,096.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,589.84 : 395,077.14 = 200,280.87 : x
  2. Step 2: Convert to fraction form
    286,589.84/395,077.14 = 200,280.87/x
  3. Step 3: Cross multiply
    286,589.84x = 395,077.14 × 200,280.87
  4. Step 4: Simplify right side
    286,589.84x = 79,126,393,316.31
  5. Step 5: Solve for x
    x = 79,126,393,316.31/286,589.84
  6. Step 6: Final answer
    x = 276,096.30

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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.