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Finding the Fourth Proportional to 652,523.40, 978,201.90 and 253,031.40

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Solution

The fourth proportional to 652,523.40, 978,201.90 and 253,031.40 is: 379,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,523.40 : 978,201.90 = 253,031.40 : x
  2. Step 2: Convert to fraction form
    652,523.40/978,201.90 = 253,031.40/x
  3. Step 3: Cross multiply
    652,523.40x = 978,201.90 × 253,031.40
  4. Step 4: Simplify right side
    652,523.40x = 247,515,796,239.66
  5. Step 5: Solve for x
    x = 247,515,796,239.66/652,523.40
  6. Step 6: Final answer
    x = 379,320.95

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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.