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Finding the Fourth Proportional to 342,404.08, 513,327.84 and 142,873.24

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Solution

The fourth proportional to 342,404.08, 513,327.84 and 142,873.24 is: 214,193.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,404.08 : 513,327.84 = 142,873.24 : x
  2. Step 2: Convert to fraction form
    342,404.08/513,327.84 = 142,873.24/x
  3. Step 3: Cross multiply
    342,404.08x = 513,327.84 × 142,873.24
  4. Step 4: Simplify right side
    342,404.08x = 73,340,811,683.00
  5. Step 5: Solve for x
    x = 73,340,811,683.00/342,404.08
  6. Step 6: Final answer
    x = 214,193.74

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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.