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Finding the Fourth Proportional to 445,712.27, 668,326.47 and 202,419.74

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Solution

The fourth proportional to 445,712.27, 668,326.47 and 202,419.74 is: 303,519.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,712.27 : 668,326.47 = 202,419.74 : x
  2. Step 2: Convert to fraction form
    445,712.27/668,326.47 = 202,419.74/x
  3. Step 3: Cross multiply
    445,712.27x = 668,326.47 × 202,419.74
  4. Step 4: Simplify right side
    445,712.27x = 135,282,470,292.52
  5. Step 5: Solve for x
    x = 135,282,470,292.52/445,712.27
  6. Step 6: Final answer
    x = 303,519.74

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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.