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Finding the Fourth Proportional to 407,505.09, 611,176.77 and 205,047.21

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Solution

The fourth proportional to 407,505.09, 611,176.77 and 205,047.21 is: 307,530.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,505.09 : 611,176.77 = 205,047.21 : x
  2. Step 2: Convert to fraction form
    407,505.09/611,176.77 = 205,047.21/x
  3. Step 3: Cross multiply
    407,505.09x = 611,176.77 × 205,047.21
  4. Step 4: Simplify right side
    407,505.09x = 125,320,091,505.31
  5. Step 5: Solve for x
    x = 125,320,091,505.31/407,505.09
  6. Step 6: Final answer
    x = 307,530.13

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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.