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Finding the Fourth Proportional to 315,003.84, 471,979.76 and 221,341.92

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Solution

The fourth proportional to 315,003.84, 471,979.76 and 221,341.92 is: 331,643.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,003.84 : 471,979.76 = 221,341.92 : x
  2. Step 2: Convert to fraction form
    315,003.84/471,979.76 = 221,341.92/x
  3. Step 3: Cross multiply
    315,003.84x = 471,979.76 × 221,341.92
  4. Step 4: Simplify right side
    315,003.84x = 104,468,906,279.54
  5. Step 5: Solve for x
    x = 104,468,906,279.54/315,003.84
  6. Step 6: Final answer
    x = 331,643.28

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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.