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Finding the Fourth Proportional to 351,885.83, 527,747.76 and 209,771.21

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Solution

The fourth proportional to 351,885.83, 527,747.76 and 209,771.21 is: 314,608.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,885.83 : 527,747.76 = 209,771.21 : x
  2. Step 2: Convert to fraction form
    351,885.83/527,747.76 = 209,771.21/x
  3. Step 3: Cross multiply
    351,885.83x = 527,747.76 × 209,771.21
  4. Step 4: Simplify right side
    351,885.83x = 110,706,287,509.36
  5. Step 5: Solve for x
    x = 110,706,287,509.36/351,885.83
  6. Step 6: Final answer
    x = 314,608.55

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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.