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Finding the Fourth Proportional to 407,013.74, 561,641.86 and 225,725.12

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Solution

The fourth proportional to 407,013.74, 561,641.86 and 225,725.12 is: 311,480.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,013.74 : 561,641.86 = 225,725.12 : x
  2. Step 2: Convert to fraction form
    407,013.74/561,641.86 = 225,725.12/x
  3. Step 3: Cross multiply
    407,013.74x = 561,641.86 × 225,725.12
  4. Step 4: Simplify right side
    407,013.74x = 126,776,676,245.52
  5. Step 5: Solve for x
    x = 126,776,676,245.52/407,013.74
  6. Step 6: Final answer
    x = 311,480.09

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1.5x scale

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.