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Finding the Fourth Proportional to 402,352.70, 603,601.95 and 202,169.30

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Solution

The fourth proportional to 402,352.70, 603,601.95 and 202,169.30 is: 303,290.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,352.70 : 603,601.95 = 202,169.30 : x
  2. Step 2: Convert to fraction form
    402,352.70/603,601.95 = 202,169.30/x
  3. Step 3: Cross multiply
    402,352.70x = 603,601.95 × 202,169.30
  4. Step 4: Simplify right side
    402,352.70x = 122,029,783,710.14
  5. Step 5: Solve for x
    x = 122,029,783,710.14/402,352.70
  6. Step 6: Final answer
    x = 303,290.58

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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.