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Finding the Fourth Proportional to 379,744.50, 569,244.15 and 211,345.50

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Solution

The fourth proportional to 379,744.50, 569,244.15 and 211,345.50 is: 316,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,744.50 : 569,244.15 = 211,345.50 : x
  2. Step 2: Convert to fraction form
    379,744.50/569,244.15 = 211,345.50/x
  3. Step 3: Cross multiply
    379,744.50x = 569,244.15 × 211,345.50
  4. Step 4: Simplify right side
    379,744.50x = 120,307,189,503.83
  5. Step 5: Solve for x
    x = 120,307,189,503.83/379,744.50
  6. Step 6: Final answer
    x = 316,810.88

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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.