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Finding the Fourth Proportional to 393,221.78, 542,590.51 and 221,115.81

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Solution

The fourth proportional to 393,221.78, 542,590.51 and 221,115.81 is: 305,108.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,221.78 : 542,590.51 = 221,115.81 : x
  2. Step 2: Convert to fraction form
    393,221.78/542,590.51 = 221,115.81/x
  3. Step 3: Cross multiply
    393,221.78x = 542,590.51 × 221,115.81
  4. Step 4: Simplify right side
    393,221.78x = 119,975,340,116.96
  5. Step 5: Solve for x
    x = 119,975,340,116.96/393,221.78
  6. Step 6: Final answer
    x = 305,108.58

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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.