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Finding the Fourth Proportional to 613,743.18, 920,593 and 187,261.78

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Solution

The fourth proportional to 613,743.18, 920,593 and 187,261.78 is: 280,886.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,743.18 : 920,593 = 187,261.78 : x
  2. Step 2: Convert to fraction form
    613,743.18/920,593 = 187,261.78/x
  3. Step 3: Cross multiply
    613,743.18x = 920,593 × 187,261.78
  4. Step 4: Simplify right side
    613,743.18x = 172,391,883,835.54
  5. Step 5: Solve for x
    x = 172,391,883,835.54/613,743.18
  6. Step 6: Final answer
    x = 280,886.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.