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Finding the Fourth Proportional to 528,738.60, 729,647.64 and 299,291.31

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Solution

The fourth proportional to 528,738.60, 729,647.64 and 299,291.31 is: 413,015.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,738.60 : 729,647.64 = 299,291.31 : x
  2. Step 2: Convert to fraction form
    528,738.60/729,647.64 = 299,291.31/x
  3. Step 3: Cross multiply
    528,738.60x = 729,647.64 × 299,291.31
  4. Step 4: Simplify right side
    528,738.60x = 218,377,198,014.01
  5. Step 5: Solve for x
    x = 218,377,198,014.01/528,738.60
  6. Step 6: Final answer
    x = 413,015.43

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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.