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Finding the Fourth Proportional to 342,745.97, 513,783.36 and 143,123.42

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Solution

The fourth proportional to 342,745.97, 513,783.36 and 143,123.42 is: 214,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,745.97 : 513,783.36 = 143,123.42 : x
  2. Step 2: Convert to fraction form
    342,745.97/513,783.36 = 143,123.42/x
  3. Step 3: Cross multiply
    342,745.97x = 513,783.36 × 143,123.42
  4. Step 4: Simplify right side
    342,745.97x = 73,534,432,906.75
  5. Step 5: Solve for x
    x = 73,534,432,906.75/342,745.97
  6. Step 6: Final answer
    x = 214,545.00

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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.