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Finding the Fourth Proportional to 437,555.25, 656,332.88 and 142,067.25

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Solution

The fourth proportional to 437,555.25, 656,332.88 and 142,067.25 is: 213,100.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,555.25 : 656,332.88 = 142,067.25 : x
  2. Step 2: Convert to fraction form
    437,555.25/656,332.88 = 142,067.25/x
  3. Step 3: Cross multiply
    437,555.25x = 656,332.88 × 142,067.25
  4. Step 4: Simplify right side
    437,555.25x = 93,243,406,635.84
  5. Step 5: Solve for x
    x = 93,243,406,635.84/437,555.25
  6. Step 6: Final answer
    x = 213,100.88

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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.