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Finding the Fourth Proportional to 257,295.84, 385,940.28 and 115,103.52

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Solution

The fourth proportional to 257,295.84, 385,940.28 and 115,103.52 is: 172,653.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,295.84 : 385,940.28 = 115,103.52 : x
  2. Step 2: Convert to fraction form
    257,295.84/385,940.28 = 115,103.52/x
  3. Step 3: Cross multiply
    257,295.84x = 385,940.28 × 115,103.52
  4. Step 4: Simplify right side
    257,295.84x = 44,423,084,737.79
  5. Step 5: Solve for x
    x = 44,423,084,737.79/257,295.84
  6. Step 6: Final answer
    x = 172,653.72

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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.