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Finding the Fourth Proportional to 200,420.08, 300,832.72 and 177,772.48

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Solution

The fourth proportional to 200,420.08, 300,832.72 and 177,772.48 is: 266,838.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,420.08 : 300,832.72 = 177,772.48 : x
  2. Step 2: Convert to fraction form
    200,420.08/300,832.72 = 177,772.48/x
  3. Step 3: Cross multiply
    200,420.08x = 300,832.72 × 177,772.48
  4. Step 4: Simplify right side
    200,420.08x = 53,479,778,699.55
  5. Step 5: Solve for x
    x = 53,479,778,699.55/200,420.08
  6. Step 6: Final answer
    x = 266,838.43

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1.5x scale

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.