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Finding the Fourth Proportional to 386,401.24, 579,768.72 and 209,033.11

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Solution

The fourth proportional to 386,401.24, 579,768.72 and 209,033.11 is: 313,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,401.24 : 579,768.72 = 209,033.11 : x
  2. Step 2: Convert to fraction form
    386,401.24/579,768.72 = 209,033.11/x
  3. Step 3: Cross multiply
    386,401.24x = 579,768.72 × 209,033.11
  4. Step 4: Simplify right side
    386,401.24x = 121,190,858,622.32
  5. Step 5: Solve for x
    x = 121,190,858,622.32/386,401.24
  6. Step 6: Final answer
    x = 313,639.93

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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.