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Finding the Fourth Proportional to 342,334.63, 513,548.67 and 142,608.30

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Solution

The fourth proportional to 342,334.63, 513,548.67 and 142,608.30 is: 213,931.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,334.63 : 513,548.67 = 142,608.30 : x
  2. Step 2: Convert to fraction form
    342,334.63/513,548.67 = 142,608.30/x
  3. Step 3: Cross multiply
    342,334.63x = 513,548.67 × 142,608.30
  4. Step 4: Simplify right side
    342,334.63x = 73,236,299,871.70
  5. Step 5: Solve for x
    x = 73,236,299,871.70/342,334.63
  6. Step 6: Final answer
    x = 213,931.91

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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.