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Finding the Fourth Proportional to 369,331, 509,914 and 231,698.63

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Solution

The fourth proportional to 369,331, 509,914 and 231,698.63 is: 319,892.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,331 : 509,914 = 231,698.63 : x
  2. Step 2: Convert to fraction form
    369,331/509,914 = 231,698.63/x
  3. Step 3: Cross multiply
    369,331x = 509,914 × 231,698.63
  4. Step 4: Simplify right side
    369,331x = 118,146,375,217.82
  5. Step 5: Solve for x
    x = 118,146,375,217.82/369,331
  6. Step 6: Final answer
    x = 319,892.93

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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.