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Finding the Fourth Proportional to 402,136.25, 603,360.77 and 177,338.16

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Solution

The fourth proportional to 402,136.25, 603,360.77 and 177,338.16 is: 266,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,136.25 : 603,360.77 = 177,338.16 : x
  2. Step 2: Convert to fraction form
    402,136.25/603,360.77 = 177,338.16/x
  3. Step 3: Cross multiply
    402,136.25x = 603,360.77 × 177,338.16
  4. Step 4: Simplify right side
    402,136.25x = 106,998,887,881.29
  5. Step 5: Solve for x
    x = 106,998,887,881.29/402,136.25
  6. Step 6: Final answer
    x = 266,076.21

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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.