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Finding the Fourth Proportional to 529,059.23, 729,604.41 and 408,008.78

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Solution

The fourth proportional to 529,059.23, 729,604.41 and 408,008.78 is: 562,668.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,059.23 : 729,604.41 = 408,008.78 : x
  2. Step 2: Convert to fraction form
    529,059.23/729,604.41 = 408,008.78/x
  3. Step 3: Cross multiply
    529,059.23x = 729,604.41 × 408,008.78
  4. Step 4: Simplify right side
    529,059.23x = 297,685,005,059.73
  5. Step 5: Solve for x
    x = 297,685,005,059.73/529,059.23
  6. Step 6: Final answer
    x = 562,668.58

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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.