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Finding the Fourth Proportional to 652,102.30, 978,445.05 and 231,679.90

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Solution

The fourth proportional to 652,102.30, 978,445.05 and 231,679.90 is: 347,623.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,102.30 : 978,445.05 = 231,679.90 : x
  2. Step 2: Convert to fraction form
    652,102.30/978,445.05 = 231,679.90/x
  3. Step 3: Cross multiply
    652,102.30x = 978,445.05 × 231,679.90
  4. Step 4: Simplify right side
    652,102.30x = 226,686,051,339.50
  5. Step 5: Solve for x
    x = 226,686,051,339.50/652,102.30
  6. Step 6: Final answer
    x = 347,623.45

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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.