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Finding the Fourth Proportional to 407,210.78, 561,931.92 and 225,920.78

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Solution

The fourth proportional to 407,210.78, 561,931.92 and 225,920.78 is: 311,760.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,210.78 : 561,931.92 = 225,920.78 : x
  2. Step 2: Convert to fraction form
    407,210.78/561,931.92 = 225,920.78/x
  3. Step 3: Cross multiply
    407,210.78x = 561,931.92 × 225,920.78
  4. Step 4: Simplify right side
    407,210.78x = 126,952,097,673.30
  5. Step 5: Solve for x
    x = 126,952,097,673.30/407,210.78
  6. Step 6: Final answer
    x = 311,760.16

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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.