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Finding the Fourth Proportional to 379,400.50, 569,381.10 and 179,721.70

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Solution

The fourth proportional to 379,400.50, 569,381.10 and 179,721.70 is: 269,715.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,400.50 : 569,381.10 = 179,721.70 : x
  2. Step 2: Convert to fraction form
    379,400.50/569,381.10 = 179,721.70/x
  3. Step 3: Cross multiply
    379,400.50x = 569,381.10 × 179,721.70
  4. Step 4: Simplify right side
    379,400.50x = 102,330,139,239.87
  5. Step 5: Solve for x
    x = 102,330,139,239.87/379,400.50
  6. Step 6: Final answer
    x = 269,715.35

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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.