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Finding the Fourth Proportional to 652,137.10, 978,205.65 and 231,358.30

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Solution

The fourth proportional to 652,137.10, 978,205.65 and 231,358.30 is: 347,037.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,137.10 : 978,205.65 = 231,358.30 : x
  2. Step 2: Convert to fraction form
    652,137.10/978,205.65 = 231,358.30/x
  3. Step 3: Cross multiply
    652,137.10x = 978,205.65 × 231,358.30
  4. Step 4: Simplify right side
    652,137.10x = 226,315,996,234.40
  5. Step 5: Solve for x
    x = 226,315,996,234.40/652,137.10
  6. Step 6: Final answer
    x = 347,037.45

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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.