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Finding the Fourth Proportional to 342,294.28, 513,096.36 and 142,724.86

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Solution

The fourth proportional to 342,294.28, 513,096.36 and 142,724.86 is: 213,943.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,294.28 : 513,096.36 = 142,724.86 : x
  2. Step 2: Convert to fraction form
    342,294.28/513,096.36 = 142,724.86/x
  3. Step 3: Cross multiply
    342,294.28x = 513,096.36 × 142,724.86
  4. Step 4: Simplify right side
    342,294.28x = 73,231,606,147.51
  5. Step 5: Solve for x
    x = 73,231,606,147.51/342,294.28
  6. Step 6: Final answer
    x = 213,943.41

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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.