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Finding the Fourth Proportional to 342,669.78, 513,665.60 and 162,438.65

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Solution

The fourth proportional to 342,669.78, 513,665.60 and 162,438.65 is: 243,497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,669.78 : 513,665.60 = 162,438.65 : x
  2. Step 2: Convert to fraction form
    342,669.78/513,665.60 = 162,438.65/x
  3. Step 3: Cross multiply
    342,669.78x = 513,665.60 × 162,438.65
  4. Step 4: Simplify right side
    342,669.78x = 83,439,143,234.92
  5. Step 5: Solve for x
    x = 83,439,143,234.92/342,669.78
  6. Step 6: Final answer
    x = 243,497.23

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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.