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Finding the Fourth Proportional to 498,389.96, 687,538.94 and 326,232.16

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Solution

The fourth proportional to 498,389.96, 687,538.94 and 326,232.16 is: 450,043.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,389.96 : 687,538.94 = 326,232.16 : x
  2. Step 2: Convert to fraction form
    498,389.96/687,538.94 = 326,232.16/x
  3. Step 3: Cross multiply
    498,389.96x = 687,538.94 × 326,232.16
  4. Step 4: Simplify right side
    498,389.96x = 224,297,310,130.30
  5. Step 5: Solve for x
    x = 224,297,310,130.30/498,389.96
  6. Step 6: Final answer
    x = 450,043.80

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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.