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Finding the Fourth Proportional to 529,076.43, 729,628.11 and 408,025.98

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Solution

The fourth proportional to 529,076.43, 729,628.11 and 408,025.98 is: 562,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,076.43 : 729,628.11 = 408,025.98 : x
  2. Step 2: Convert to fraction form
    529,076.43/729,628.11 = 408,025.98/x
  3. Step 3: Cross multiply
    529,076.43x = 729,628.11 × 408,025.98
  4. Step 4: Simplify right side
    529,076.43x = 297,707,224,618.30
  5. Step 5: Solve for x
    x = 297,707,224,618.30/529,076.43
  6. Step 6: Final answer
    x = 562,692.28

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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.