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Finding the Fourth Proportional to 257,302.77, 385,797.87 and 115,121.57

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Solution

The fourth proportional to 257,302.77, 385,797.87 and 115,121.57 is: 172,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,302.77 : 385,797.87 = 115,121.57 : x
  2. Step 2: Convert to fraction form
    257,302.77/385,797.87 = 115,121.57/x
  3. Step 3: Cross multiply
    257,302.77x = 385,797.87 × 115,121.57
  4. Step 4: Simplify right side
    257,302.77x = 44,413,657,461.55
  5. Step 5: Solve for x
    x = 44,413,657,461.55/257,302.77
  6. Step 6: Final answer
    x = 172,612.43

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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.