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Finding the Fourth Proportional to 415,078.93, 569,072.69 and 407,512.11

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Solution

The fourth proportional to 415,078.93, 569,072.69 and 407,512.11 is: 558,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,078.93 : 569,072.69 = 407,512.11 : x
  2. Step 2: Convert to fraction form
    415,078.93/569,072.69 = 407,512.11/x
  3. Step 3: Cross multiply
    415,078.93x = 569,072.69 × 407,512.11
  4. Step 4: Simplify right side
    415,078.93x = 231,904,014,269.91
  5. Step 5: Solve for x
    x = 231,904,014,269.91/415,078.93
  6. Step 6: Final answer
    x = 558,698.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.