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Finding the Fourth Proportional to 285,176.46, 427,742.40 and 74,808.92

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Solution

The fourth proportional to 285,176.46, 427,742.40 and 74,808.92 is: 112,207.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,176.46 : 427,742.40 = 74,808.92 : x
  2. Step 2: Convert to fraction form
    285,176.46/427,742.40 = 74,808.92/x
  3. Step 3: Cross multiply
    285,176.46x = 427,742.40 × 74,808.92
  4. Step 4: Simplify right side
    285,176.46x = 31,998,946,982.21
  5. Step 5: Solve for x
    x = 31,998,946,982.21/285,176.46
  6. Step 6: Final answer
    x = 112,207.53

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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.