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Finding the Fourth Proportional to 258,569.76, 356,713.20 and 157,908

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Solution

The fourth proportional to 258,569.76, 356,713.20 and 157,908 is: 217,843.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,569.76 : 356,713.20 = 157,908 : x
  2. Step 2: Convert to fraction form
    258,569.76/356,713.20 = 157,908/x
  3. Step 3: Cross multiply
    258,569.76x = 356,713.20 × 157,908
  4. Step 4: Simplify right side
    258,569.76x = 56,327,867,985.60
  5. Step 5: Solve for x
    x = 56,327,867,985.60/258,569.76
  6. Step 6: Final answer
    x = 217,843.99

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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.