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Finding the Fourth Proportional to 652,415.10, 978,387.87 and 225,835.02

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Solution

The fourth proportional to 652,415.10, 978,387.87 and 225,835.02 is: 338,671.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,415.10 : 978,387.87 = 225,835.02 : x
  2. Step 2: Convert to fraction form
    652,415.10/978,387.87 = 225,835.02/x
  3. Step 3: Cross multiply
    652,415.10x = 978,387.87 × 225,835.02
  4. Step 4: Simplify right side
    652,415.10x = 220,954,244,189.21
  5. Step 5: Solve for x
    x = 220,954,244,189.21/652,415.10
  6. Step 6: Final answer
    x = 338,671.26

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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.