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Finding the Fourth Proportional to 529,940.54, 731,310.80 and 288,217.92

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Solution

The fourth proportional to 529,940.54, 731,310.80 and 288,217.92 is: 397,736.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,940.54 : 731,310.80 = 288,217.92 : x
  2. Step 2: Convert to fraction form
    529,940.54/731,310.80 = 288,217.92/x
  3. Step 3: Cross multiply
    529,940.54x = 731,310.80 × 288,217.92
  4. Step 4: Simplify right side
    529,940.54x = 210,776,877,649.54
  5. Step 5: Solve for x
    x = 210,776,877,649.54/529,940.54
  6. Step 6: Final answer
    x = 397,736.84

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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.