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Finding the Fourth Proportional to 408,533.73, 612,603.76 and 142,288.35

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Solution

The fourth proportional to 408,533.73, 612,603.76 and 142,288.35 is: 213,363.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,533.73 : 612,603.76 = 142,288.35 : x
  2. Step 2: Convert to fraction form
    408,533.73/612,603.76 = 142,288.35/x
  3. Step 3: Cross multiply
    408,533.73x = 612,603.76 × 142,288.35
  4. Step 4: Simplify right side
    408,533.73x = 87,166,378,214.20
  5. Step 5: Solve for x
    x = 87,166,378,214.20/408,533.73
  6. Step 6: Final answer
    x = 213,363.97

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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.