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Finding the Fourth Proportional to 475,830.78, 713,932.97 and 209,404.40

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Solution

The fourth proportional to 475,830.78, 713,932.97 and 209,404.40 is: 314,188.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,830.78 : 713,932.97 = 209,404.40 : x
  2. Step 2: Convert to fraction form
    475,830.78/713,932.97 = 209,404.40/x
  3. Step 3: Cross multiply
    475,830.78x = 713,932.97 × 209,404.40
  4. Step 4: Simplify right side
    475,830.78x = 149,500,700,606.38
  5. Step 5: Solve for x
    x = 149,500,700,606.38/475,830.78
  6. Step 6: Final answer
    x = 314,188.80

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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.