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Finding the Fourth Proportional to 475,709.67, 713,669.43 and 138,776.67

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Solution

The fourth proportional to 475,709.67, 713,669.43 and 138,776.67 is: 208,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,709.67 : 713,669.43 = 138,776.67 : x
  2. Step 2: Convert to fraction form
    475,709.67/713,669.43 = 138,776.67/x
  3. Step 3: Cross multiply
    475,709.67x = 713,669.43 × 138,776.67
  4. Step 4: Simplify right side
    475,709.67x = 99,040,666,976.20
  5. Step 5: Solve for x
    x = 99,040,666,976.20/475,709.67
  6. Step 6: Final answer
    x = 208,195.61

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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.