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Finding the Fourth Proportional to 257,386.31, 355,072.97 and 161,945.63

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Solution

The fourth proportional to 257,386.31, 355,072.97 and 161,945.63 is: 223,409.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,386.31 : 355,072.97 = 161,945.63 : x
  2. Step 2: Convert to fraction form
    257,386.31/355,072.97 = 161,945.63/x
  3. Step 3: Cross multiply
    257,386.31x = 355,072.97 × 161,945.63
  4. Step 4: Simplify right side
    257,386.31x = 57,502,514,872.70
  5. Step 5: Solve for x
    x = 57,502,514,872.70/257,386.31
  6. Step 6: Final answer
    x = 223,409.38

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1.5x scale

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.