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Finding the Fourth Proportional to 652,416.10, 978,389.37 and 225,836.02

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Solution

The fourth proportional to 652,416.10, 978,389.37 and 225,836.02 is: 338,672.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,416.10 : 978,389.37 = 225,836.02 : x
  2. Step 2: Convert to fraction form
    652,416.10/978,389.37 = 225,836.02/x
  3. Step 3: Cross multiply
    652,416.10x = 978,389.37 × 225,836.02
  4. Step 4: Simplify right side
    652,416.10x = 220,955,561,331.11
  5. Step 5: Solve for x
    x = 220,955,561,331.11/652,416.10
  6. Step 6: Final answer
    x = 338,672.76

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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.