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Finding the Fourth Proportional to 393,649.20, 590,567.54 and 127,409.76

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Solution

The fourth proportional to 393,649.20, 590,567.54 and 127,409.76 is: 191,144.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,649.20 : 590,567.54 = 127,409.76 : x
  2. Step 2: Convert to fraction form
    393,649.20/590,567.54 = 127,409.76/x
  3. Step 3: Cross multiply
    393,649.20x = 590,567.54 × 127,409.76
  4. Step 4: Simplify right side
    393,649.20x = 75,244,067,898.14
  5. Step 5: Solve for x
    x = 75,244,067,898.14/393,649.20
  6. Step 6: Final answer
    x = 191,144.98

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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.