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Finding the Fourth Proportional to 258,570.76, 356,714.58 and 157,909

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Solution

The fourth proportional to 258,570.76, 356,714.58 and 157,909 is: 217,845.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,570.76 : 356,714.58 = 157,909 : x
  2. Step 2: Convert to fraction form
    258,570.76/356,714.58 = 157,909/x
  3. Step 3: Cross multiply
    258,570.76x = 356,714.58 × 157,909
  4. Step 4: Simplify right side
    258,570.76x = 56,328,442,613.22
  5. Step 5: Solve for x
    x = 56,328,442,613.22/258,570.76
  6. Step 6: Final answer
    x = 217,845.37

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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.