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Finding the Fourth Proportional to 407,013.39, 561,640.86 and 225,721.98

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Solution

The fourth proportional to 407,013.39, 561,640.86 and 225,721.98 is: 311,475.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,013.39 : 561,640.86 = 225,721.98 : x
  2. Step 2: Convert to fraction form
    407,013.39/561,640.86 = 225,721.98/x
  3. Step 3: Cross multiply
    407,013.39x = 561,640.86 × 225,721.98
  4. Step 4: Simplify right side
    407,013.39x = 126,774,686,968.10
  5. Step 5: Solve for x
    x = 126,774,686,968.10/407,013.39
  6. Step 6: Final answer
    x = 311,475.47

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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.