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Finding the Fourth Proportional to 519,334.65, 778,531.77 and 203,706.81

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Solution

The fourth proportional to 519,334.65, 778,531.77 and 203,706.81 is: 305,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,334.65 : 778,531.77 = 203,706.81 : x
  2. Step 2: Convert to fraction form
    519,334.65/778,531.77 = 203,706.81/x
  3. Step 3: Cross multiply
    519,334.65x = 778,531.77 × 203,706.81
  4. Step 4: Simplify right side
    519,334.65x = 158,592,223,350.35
  5. Step 5: Solve for x
    x = 158,592,223,350.35/519,334.65
  6. Step 6: Final answer
    x = 305,375.78

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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.