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Finding the Fourth Proportional to 257,629, 386,512.80 and 107,790.16

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Solution

The fourth proportional to 257,629, 386,512.80 and 107,790.16 is: 161,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,629 : 386,512.80 = 107,790.16 : x
  2. Step 2: Convert to fraction form
    257,629/386,512.80 = 107,790.16/x
  3. Step 3: Cross multiply
    257,629x = 386,512.80 × 107,790.16
  4. Step 4: Simplify right side
    257,629x = 41,662,276,554.05
  5. Step 5: Solve for x
    x = 41,662,276,554.05/257,629
  6. Step 6: Final answer
    x = 161,714.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.