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Finding the Fourth Proportional to 407,019.92, 561,721.12 and 225,790.28

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Solution

The fourth proportional to 407,019.92, 561,721.12 and 225,790.28 is: 311,609.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,019.92 : 561,721.12 = 225,790.28 : x
  2. Step 2: Convert to fraction form
    407,019.92/561,721.12 = 225,790.28/x
  3. Step 3: Cross multiply
    407,019.92x = 561,721.12 × 225,790.28
  4. Step 4: Simplify right side
    407,019.92x = 126,831,168,966.71
  5. Step 5: Solve for x
    x = 126,831,168,966.71/407,019.92
  6. Step 6: Final answer
    x = 311,609.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.