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Finding the Fourth Proportional to 767,999.54, 1,059,864.82 and 419,159

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Solution

The fourth proportional to 767,999.54, 1,059,864.82 and 419,159 is: 578,453.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,999.54 : 1,059,864.82 = 419,159 : x
  2. Step 2: Convert to fraction form
    767,999.54/1,059,864.82 = 419,159/x
  3. Step 3: Cross multiply
    767,999.54x = 1,059,864.82 × 419,159
  4. Step 4: Simplify right side
    767,999.54x = 444,251,878,086.38
  5. Step 5: Solve for x
    x = 444,251,878,086.38/767,999.54
  6. Step 6: Final answer
    x = 578,453.31

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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.