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Finding the Fourth Proportional to 285,175.95, 427,741.65 and 74,808.42

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Solution

The fourth proportional to 285,175.95, 427,741.65 and 74,808.42 is: 112,206.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,175.95 : 427,741.65 = 74,808.42 : x
  2. Step 2: Convert to fraction form
    285,175.95/427,741.65 = 74,808.42/x
  3. Step 3: Cross multiply
    285,175.95x = 427,741.65 × 74,808.42
  4. Step 4: Simplify right side
    285,175.95x = 31,998,677,004.69
  5. Step 5: Solve for x
    x = 31,998,677,004.69/285,175.95
  6. Step 6: Final answer
    x = 112,206.79

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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.