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Finding the Fourth Proportional to 475,830.65, 713,932.78 and 209,404.27

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Solution

The fourth proportional to 475,830.65, 713,932.78 and 209,404.27 is: 314,188.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,830.65 : 713,932.78 = 209,404.27 : x
  2. Step 2: Convert to fraction form
    475,830.65/713,932.78 = 209,404.27/x
  3. Step 3: Cross multiply
    475,830.65x = 713,932.78 × 209,404.27
  4. Step 4: Simplify right side
    475,830.65x = 149,500,572,624.97
  5. Step 5: Solve for x
    x = 149,500,572,624.97/475,830.65
  6. Step 6: Final answer
    x = 314,188.61

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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.