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Finding the Fourth Proportional to 529,838.50, 731,180.56 and 288,123.70

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Solution

The fourth proportional to 529,838.50, 731,180.56 and 288,123.70 is: 397,612.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,838.50 : 731,180.56 = 288,123.70 : x
  2. Step 2: Convert to fraction form
    529,838.50/731,180.56 = 288,123.70/x
  3. Step 3: Cross multiply
    529,838.50x = 731,180.56 × 288,123.70
  4. Step 4: Simplify right side
    529,838.50x = 210,670,444,659.37
  5. Step 5: Solve for x
    x = 210,670,444,659.37/529,838.50
  6. Step 6: Final answer
    x = 397,612.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.