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Finding the Fourth Proportional to 493,007.80, 739,857.30 and 212,726.20

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Solution

The fourth proportional to 493,007.80, 739,857.30 and 212,726.20 is: 319,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,007.80 : 739,857.30 = 212,726.20 : x
  2. Step 2: Convert to fraction form
    493,007.80/739,857.30 = 212,726.20/x
  3. Step 3: Cross multiply
    493,007.80x = 739,857.30 × 212,726.20
  4. Step 4: Simplify right side
    493,007.80x = 157,387,031,971.26
  5. Step 5: Solve for x
    x = 157,387,031,971.26/493,007.80
  6. Step 6: Final answer
    x = 319,238.42

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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.