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Finding the Fourth Proportional to 295,414.92, 442,804.05 and 143,289.90

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Solution

The fourth proportional to 295,414.92, 442,804.05 and 143,289.90 is: 214,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,414.92 : 442,804.05 = 143,289.90 : x
  2. Step 2: Convert to fraction form
    295,414.92/442,804.05 = 143,289.90/x
  3. Step 3: Cross multiply
    295,414.92x = 442,804.05 × 143,289.90
  4. Step 4: Simplify right side
    295,414.92x = 63,449,348,044.10
  5. Step 5: Solve for x
    x = 63,449,348,044.10/295,414.92
  6. Step 6: Final answer
    x = 214,780.45

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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.