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Finding the Fourth Proportional to 502,978, 693,758.30 and 341,552.80

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Solution

The fourth proportional to 502,978, 693,758.30 and 341,552.80 is: 471,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,978 : 693,758.30 = 341,552.80 : x
  2. Step 2: Convert to fraction form
    502,978/693,758.30 = 341,552.80/x
  3. Step 3: Cross multiply
    502,978x = 693,758.30 × 341,552.80
  4. Step 4: Simplify right side
    502,978x = 236,955,084,711.69
  5. Step 5: Solve for x
    x = 236,955,084,711.69/502,978
  6. Step 6: Final answer
    x = 471,104.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.