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Finding the Fourth Proportional to 484,040.66, 726,106.52 and 142,484.31

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Solution

The fourth proportional to 484,040.66, 726,106.52 and 142,484.31 is: 213,739.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,040.66 : 726,106.52 = 142,484.31 : x
  2. Step 2: Convert to fraction form
    484,040.66/726,106.52 = 142,484.31/x
  3. Step 3: Cross multiply
    484,040.66x = 726,106.52 × 142,484.31
  4. Step 4: Simplify right side
    484,040.66x = 103,458,786,488.70
  5. Step 5: Solve for x
    x = 103,458,786,488.70/484,040.66
  6. Step 6: Final answer
    x = 213,739.87

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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.