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Finding the Fourth Proportional to 361,742.08, 499,210 and 200,603.84

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Solution

The fourth proportional to 361,742.08, 499,210 and 200,603.84 is: 276,836.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,742.08 : 499,210 = 200,603.84 : x
  2. Step 2: Convert to fraction form
    361,742.08/499,210 = 200,603.84/x
  3. Step 3: Cross multiply
    361,742.08x = 499,210 × 200,603.84
  4. Step 4: Simplify right side
    361,742.08x = 100,143,442,966.40
  5. Step 5: Solve for x
    x = 100,143,442,966.40/361,742.08
  6. Step 6: Final answer
    x = 276,836.59

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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.