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Finding the Fourth Proportional to 258,648.80, 356,945.42 and 156,616.58

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Solution

The fourth proportional to 258,648.80, 356,945.42 and 156,616.58 is: 216,136.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,648.80 : 356,945.42 = 156,616.58 : x
  2. Step 2: Convert to fraction form
    258,648.80/356,945.42 = 156,616.58/x
  3. Step 3: Cross multiply
    258,648.80x = 356,945.42 × 156,616.58
  4. Step 4: Simplify right side
    258,648.80x = 55,903,572,210.97
  5. Step 5: Solve for x
    x = 55,903,572,210.97/258,648.80
  6. Step 6: Final answer
    x = 216,136.99

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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.