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Finding the Fourth Proportional to 342,487.32, 513,512.28 and 164,640.48

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Solution

The fourth proportional to 342,487.32, 513,512.28 and 164,640.48 is: 246,855.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,487.32 : 513,512.28 = 164,640.48 : x
  2. Step 2: Convert to fraction form
    342,487.32/513,512.28 = 164,640.48/x
  3. Step 3: Cross multiply
    342,487.32x = 513,512.28 × 164,640.48
  4. Step 4: Simplify right side
    342,487.32x = 84,544,908,265.09
  5. Step 5: Solve for x
    x = 84,544,908,265.09/342,487.32
  6. Step 6: Final answer
    x = 246,855.59

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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.