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Finding the Fourth Proportional to 484,042.29, 726,108.96 and 142,485.95

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Solution

The fourth proportional to 484,042.29, 726,108.96 and 142,485.95 is: 213,742.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,042.29 : 726,108.96 = 142,485.95 : x
  2. Step 2: Convert to fraction form
    484,042.29/726,108.96 = 142,485.95/x
  3. Step 3: Cross multiply
    484,042.29x = 726,108.96 × 142,485.95
  4. Step 4: Simplify right side
    484,042.29x = 103,460,321,338.57
  5. Step 5: Solve for x
    x = 103,460,321,338.57/484,042.29
  6. Step 6: Final answer
    x = 213,742.32

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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.