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Finding the Fourth Proportional to 342,378.33, 513,289.26 and 142,847.40

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Solution

The fourth proportional to 342,378.33, 513,289.26 and 142,847.40 is: 214,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,378.33 : 513,289.26 = 142,847.40 : x
  2. Step 2: Convert to fraction form
    342,378.33/513,289.26 = 142,847.40/x
  3. Step 3: Cross multiply
    342,378.33x = 513,289.26 × 142,847.40
  4. Step 4: Simplify right side
    342,378.33x = 73,322,036,238.92
  5. Step 5: Solve for x
    x = 73,322,036,238.92/342,378.33
  6. Step 6: Final answer
    x = 214,155.01

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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.