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Finding the Fourth Proportional to 456,289.61, 629,668.28 and 252,351.86

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Solution

The fourth proportional to 456,289.61, 629,668.28 and 252,351.86 is: 348,239.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,289.61 : 629,668.28 = 252,351.86 : x
  2. Step 2: Convert to fraction form
    456,289.61/629,668.28 = 252,351.86/x
  3. Step 3: Cross multiply
    456,289.61x = 629,668.28 × 252,351.86
  4. Step 4: Simplify right side
    456,289.61x = 158,897,959,123.54
  5. Step 5: Solve for x
    x = 158,897,959,123.54/456,289.61
  6. Step 6: Final answer
    x = 348,239.27

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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.