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Finding the Fourth Proportional to 397,699.50, 596,549.22 and 327,431.16

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Solution

The fourth proportional to 397,699.50, 596,549.22 and 327,431.16 is: 491,146.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,699.50 : 596,549.22 = 327,431.16 : x
  2. Step 2: Convert to fraction form
    397,699.50/596,549.22 = 327,431.16/x
  3. Step 3: Cross multiply
    397,699.50x = 596,549.22 × 327,431.16
  4. Step 4: Simplify right side
    397,699.50x = 195,328,803,101.70
  5. Step 5: Solve for x
    x = 195,328,803,101.70/397,699.50
  6. Step 6: Final answer
    x = 491,146.72

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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.