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Finding the Fourth Proportional to 286,528.81, 429,860.45 and 281,768.44

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Solution

The fourth proportional to 286,528.81, 429,860.45 and 281,768.44 is: 422,718.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,528.81 : 429,860.45 = 281,768.44 : x
  2. Step 2: Convert to fraction form
    286,528.81/429,860.45 = 281,768.44/x
  3. Step 3: Cross multiply
    286,528.81x = 429,860.45 × 281,768.44
  4. Step 4: Simplify right side
    286,528.81x = 121,121,108,414.20
  5. Step 5: Solve for x
    x = 121,121,108,414.20/286,528.81
  6. Step 6: Final answer
    x = 422,718.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.