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Finding the Fourth Proportional to 442,729.76, 664,179.98 and 143,284.64

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Solution

The fourth proportional to 442,729.76, 664,179.98 and 143,284.64 is: 214,954.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,729.76 : 664,179.98 = 143,284.64 : x
  2. Step 2: Convert to fraction form
    442,729.76/664,179.98 = 143,284.64/x
  3. Step 3: Cross multiply
    442,729.76x = 664,179.98 × 143,284.64
  4. Step 4: Simplify right side
    442,729.76x = 95,166,789,329.51
  5. Step 5: Solve for x
    x = 95,166,789,329.51/442,729.76
  6. Step 6: Final answer
    x = 214,954.58

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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.