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Finding the Fourth Proportional to 399,058, 598,586.20 and 232,729.36

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Solution

The fourth proportional to 399,058, 598,586.20 and 232,729.36 is: 349,093.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,058 : 598,586.20 = 232,729.36 : x
  2. Step 2: Convert to fraction form
    399,058/598,586.20 = 232,729.36/x
  3. Step 3: Cross multiply
    399,058x = 598,586.20 × 232,729.36
  4. Step 4: Simplify right side
    399,058x = 139,308,583,230.83
  5. Step 5: Solve for x
    x = 139,308,583,230.83/399,058
  6. Step 6: Final answer
    x = 349,093.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.