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Finding the Fourth Proportional to 206,412.80, 284,585.92 and 133,687.20

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Solution

The fourth proportional to 206,412.80, 284,585.92 and 133,687.20 is: 184,317.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,412.80 : 284,585.92 = 133,687.20 : x
  2. Step 2: Convert to fraction form
    206,412.80/284,585.92 = 133,687.20/x
  3. Step 3: Cross multiply
    206,412.80x = 284,585.92 × 133,687.20
  4. Step 4: Simplify right side
    206,412.80x = 38,045,494,804.22
  5. Step 5: Solve for x
    x = 38,045,494,804.22/206,412.80
  6. Step 6: Final answer
    x = 184,317.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.