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Finding the Fourth Proportional to 285,214.57, 427,683.42 and 142,998.76

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Solution

The fourth proportional to 285,214.57, 427,683.42 and 142,998.76 is: 214,428.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,214.57 : 427,683.42 = 142,998.76 : x
  2. Step 2: Convert to fraction form
    285,214.57/427,683.42 = 142,998.76/x
  3. Step 3: Cross multiply
    285,214.57x = 427,683.42 × 142,998.76
  4. Step 4: Simplify right side
    285,214.57x = 61,158,198,732.56
  5. Step 5: Solve for x
    x = 61,158,198,732.56/285,214.57
  6. Step 6: Final answer
    x = 214,428.73

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1.5x scale

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.