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Finding the Fourth Proportional to 342,494.78, 513,731.53 and 162,709.59

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Solution

The fourth proportional to 342,494.78, 513,731.53 and 162,709.59 is: 244,059.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,494.78 : 513,731.53 = 162,709.59 : x
  2. Step 2: Convert to fraction form
    342,494.78/513,731.53 = 162,709.59/x
  3. Step 3: Cross multiply
    342,494.78x = 513,731.53 × 162,709.59
  4. Step 4: Simplify right side
    342,494.78x = 83,589,048,746.25
  5. Step 5: Solve for x
    x = 83,589,048,746.25/342,494.78
  6. Step 6: Final answer
    x = 244,059.34

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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.