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Finding the Fourth Proportional to 315,756.56, 472,920.24 and 221,405.24

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Solution

The fourth proportional to 315,756.56, 472,920.24 and 221,405.24 is: 331,606.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,756.56 : 472,920.24 = 221,405.24 : x
  2. Step 2: Convert to fraction form
    315,756.56/472,920.24 = 221,405.24/x
  3. Step 3: Cross multiply
    315,756.56x = 472,920.24 × 221,405.24
  4. Step 4: Simplify right side
    315,756.56x = 104,707,019,238.06
  5. Step 5: Solve for x
    x = 104,707,019,238.06/315,756.56
  6. Step 6: Final answer
    x = 331,606.79

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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.