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Finding the Fourth Proportional to 437,940.78, 656,619.33 and 157,421.58

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Solution

The fourth proportional to 437,940.78, 656,619.33 and 157,421.58 is: 236,027.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,940.78 : 656,619.33 = 157,421.58 : x
  2. Step 2: Convert to fraction form
    437,940.78/656,619.33 = 157,421.58/x
  3. Step 3: Cross multiply
    437,940.78x = 656,619.33 × 157,421.58
  4. Step 4: Simplify right side
    437,940.78x = 103,366,052,387.14
  5. Step 5: Solve for x
    x = 103,366,052,387.14/437,940.78
  6. Step 6: Final answer
    x = 236,027.47

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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.