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Finding the Fourth Proportional to 257,689.71, 355,771.31 and 171,769.77

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Solution

The fourth proportional to 257,689.71, 355,771.31 and 171,769.77 is: 237,148.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,689.71 : 355,771.31 = 171,769.77 : x
  2. Step 2: Convert to fraction form
    257,689.71/355,771.31 = 171,769.77/x
  3. Step 3: Cross multiply
    257,689.71x = 355,771.31 × 171,769.77
  4. Step 4: Simplify right side
    257,689.71x = 61,110,755,232.45
  5. Step 5: Solve for x
    x = 61,110,755,232.45/257,689.71
  6. Step 6: Final answer
    x = 237,148.60

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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.