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Finding the Fourth Proportional to 498,389.28, 747,296.64 and 340,808.64

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Solution

The fourth proportional to 498,389.28, 747,296.64 and 340,808.64 is: 511,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,389.28 : 747,296.64 = 340,808.64 : x
  2. Step 2: Convert to fraction form
    498,389.28/747,296.64 = 340,808.64/x
  3. Step 3: Cross multiply
    498,389.28x = 747,296.64 × 340,808.64
  4. Step 4: Simplify right side
    498,389.28x = 254,685,151,554.97
  5. Step 5: Solve for x
    x = 254,685,151,554.97/498,389.28
  6. Step 6: Final answer
    x = 511,016.51

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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.