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Finding the Fourth Proportional to 258,531.78, 356,657.24 and 151,053.48

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Solution

The fourth proportional to 258,531.78, 356,657.24 and 151,053.48 is: 208,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,531.78 : 356,657.24 = 151,053.48 : x
  2. Step 2: Convert to fraction form
    258,531.78/356,657.24 = 151,053.48/x
  3. Step 3: Cross multiply
    258,531.78x = 356,657.24 × 151,053.48
  4. Step 4: Simplify right side
    258,531.78x = 53,874,316,513.93
  5. Step 5: Solve for x
    x = 53,874,316,513.93/258,531.78
  6. Step 6: Final answer
    x = 208,385.66

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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.