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Finding the Fourth Proportional to 652,114.90, 978,658.35 and 336,409.30

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Solution

The fourth proportional to 652,114.90, 978,658.35 and 336,409.30 is: 504,864.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,114.90 : 978,658.35 = 336,409.30 : x
  2. Step 2: Convert to fraction form
    652,114.90/978,658.35 = 336,409.30/x
  3. Step 3: Cross multiply
    652,114.90x = 978,658.35 × 336,409.30
  4. Step 4: Simplify right side
    652,114.90x = 329,229,770,462.66
  5. Step 5: Solve for x
    x = 329,229,770,462.66/652,114.90
  6. Step 6: Final answer
    x = 504,864.66

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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.