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Finding the Fourth Proportional to 526,817.88, 726,930.42 and 319,978.62

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Solution

The fourth proportional to 526,817.88, 726,930.42 and 319,978.62 is: 441,522.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,817.88 : 726,930.42 = 319,978.62 : x
  2. Step 2: Convert to fraction form
    526,817.88/726,930.42 = 319,978.62/x
  3. Step 3: Cross multiply
    526,817.88x = 726,930.42 × 319,978.62
  4. Step 4: Simplify right side
    526,817.88x = 232,602,192,627.62
  5. Step 5: Solve for x
    x = 232,602,192,627.62/526,817.88
  6. Step 6: Final answer
    x = 441,522.97

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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.