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Finding the Fourth Proportional to 652,077.90, 978,165.45 and 231,299.10

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Solution

The fourth proportional to 652,077.90, 978,165.45 and 231,299.10 is: 346,965.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,077.90 : 978,165.45 = 231,299.10 : x
  2. Step 2: Convert to fraction form
    652,077.90/978,165.45 = 231,299.10/x
  3. Step 3: Cross multiply
    652,077.90x = 978,165.45 × 231,299.10
  4. Step 4: Simplify right side
    652,077.90x = 226,248,788,236.10
  5. Step 5: Solve for x
    x = 226,248,788,236.10/652,077.90
  6. Step 6: Final answer
    x = 346,965.89

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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.