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Finding the Fourth Proportional to 342,529.32, 513,440.82 and 142,965.84

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Solution

The fourth proportional to 342,529.32, 513,440.82 and 142,965.84 is: 214,301.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,529.32 : 513,440.82 = 142,965.84 : x
  2. Step 2: Convert to fraction form
    342,529.32/513,440.82 = 142,965.84/x
  3. Step 3: Cross multiply
    342,529.32x = 513,440.82 × 142,965.84
  4. Step 4: Simplify right side
    342,529.32x = 73,404,498,121.59
  5. Step 5: Solve for x
    x = 73,404,498,121.59/342,529.32
  6. Step 6: Final answer
    x = 214,301.36

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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.