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Finding the Fourth Proportional to 215,145.74, 322,663.80 and 152,553.80

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Solution

The fourth proportional to 215,145.74, 322,663.80 and 152,553.80 is: 228,791.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,145.74 : 322,663.80 = 152,553.80 : x
  2. Step 2: Convert to fraction form
    215,145.74/322,663.80 = 152,553.80/x
  3. Step 3: Cross multiply
    215,145.74x = 322,663.80 × 152,553.80
  4. Step 4: Simplify right side
    215,145.74x = 49,223,588,812.44
  5. Step 5: Solve for x
    x = 49,223,588,812.44/215,145.74
  6. Step 6: Final answer
    x = 228,791.84

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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.