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Finding the Fourth Proportional to 342,880.89, 514,369.56 and 143,155.86

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Solution

The fourth proportional to 342,880.89, 514,369.56 and 143,155.86 is: 214,753.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,880.89 : 514,369.56 = 143,155.86 : x
  2. Step 2: Convert to fraction form
    342,880.89/514,369.56 = 143,155.86/x
  3. Step 3: Cross multiply
    342,880.89x = 514,369.56 × 143,155.86
  4. Step 4: Simplify right side
    342,880.89x = 73,635,016,719.62
  5. Step 5: Solve for x
    x = 73,635,016,719.62/342,880.89
  6. Step 6: Final answer
    x = 214,753.92

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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.