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Finding the Fourth Proportional to 475,861.14, 713,978.55 and 209,434.77

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Solution

The fourth proportional to 475,861.14, 713,978.55 and 209,434.77 is: 314,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,861.14 : 713,978.55 = 209,434.77 : x
  2. Step 2: Convert to fraction form
    475,861.14/713,978.55 = 209,434.77/x
  3. Step 3: Cross multiply
    475,861.14x = 713,978.55 × 209,434.77
  4. Step 4: Simplify right side
    475,861.14x = 149,531,933,404.18
  5. Step 5: Solve for x
    x = 149,531,933,404.18/475,861.14
  6. Step 6: Final answer
    x = 314,234.39

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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.