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Finding the Fourth Proportional to 407,503.09, 611,173.77 and 205,045.21

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Solution

The fourth proportional to 407,503.09, 611,173.77 and 205,045.21 is: 307,527.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,503.09 : 611,173.77 = 205,045.21 : x
  2. Step 2: Convert to fraction form
    407,503.09/611,173.77 = 205,045.21/x
  3. Step 3: Cross multiply
    407,503.09x = 611,173.77 × 205,045.21
  4. Step 4: Simplify right side
    407,503.09x = 125,318,254,016.14
  5. Step 5: Solve for x
    x = 125,318,254,016.14/407,503.09
  6. Step 6: Final answer
    x = 307,527.13

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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.