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Finding the Fourth Proportional to 286,527.81, 429,858.95 and 281,767.44

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Solution

The fourth proportional to 286,527.81, 429,858.95 and 281,767.44 is: 422,717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,527.81 : 429,858.95 = 281,767.44 : x
  2. Step 2: Convert to fraction form
    286,527.81/429,858.95 = 281,767.44/x
  3. Step 3: Cross multiply
    286,527.81x = 429,858.95 × 281,767.44
  4. Step 4: Simplify right side
    286,527.81x = 121,120,254,493.75
  5. Step 5: Solve for x
    x = 121,120,254,493.75/286,527.81
  6. Step 6: Final answer
    x = 422,717.27

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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.