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Finding the Fourth Proportional to 529,064.45, 729,611.61 and 408,014

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Solution

The fourth proportional to 529,064.45, 729,611.61 and 408,014 is: 562,675.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,064.45 : 729,611.61 = 408,014 : x
  2. Step 2: Convert to fraction form
    529,064.45/729,611.61 = 408,014/x
  3. Step 3: Cross multiply
    529,064.45x = 729,611.61 × 408,014
  4. Step 4: Simplify right side
    529,064.45x = 297,691,751,442.54
  5. Step 5: Solve for x
    x = 297,691,751,442.54/529,064.45
  6. Step 6: Final answer
    x = 562,675.78

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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.