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Finding the Fourth Proportional to 219,031.78, 302,525.49 and 155,644.42

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Solution

The fourth proportional to 219,031.78, 302,525.49 and 155,644.42 is: 214,975.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,031.78 : 302,525.49 = 155,644.42 : x
  2. Step 2: Convert to fraction form
    219,031.78/302,525.49 = 155,644.42/x
  3. Step 3: Cross multiply
    219,031.78x = 302,525.49 × 155,644.42
  4. Step 4: Simplify right side
    219,031.78x = 47,086,404,426.27
  5. Step 5: Solve for x
    x = 47,086,404,426.27/219,031.78
  6. Step 6: Final answer
    x = 214,975.22

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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.