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Finding the Fourth Proportional to 402,137.25, 603,362.27 and 177,339.16

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Solution

The fourth proportional to 402,137.25, 603,362.27 and 177,339.16 is: 266,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,137.25 : 603,362.27 = 177,339.16 : x
  2. Step 2: Convert to fraction form
    402,137.25/603,362.27 = 177,339.16/x
  3. Step 3: Cross multiply
    402,137.25x = 603,362.27 × 177,339.16
  4. Step 4: Simplify right side
    402,137.25x = 106,999,758,137.49
  5. Step 5: Solve for x
    x = 106,999,758,137.49/402,137.25
  6. Step 6: Final answer
    x = 266,077.71

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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.