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Finding the Fourth Proportional to 341,315.52, 512,046 and 130,951.68

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Solution

The fourth proportional to 341,315.52, 512,046 and 130,951.68 is: 196,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,315.52 : 512,046 = 130,951.68 : x
  2. Step 2: Convert to fraction form
    341,315.52/512,046 = 130,951.68/x
  3. Step 3: Cross multiply
    341,315.52x = 512,046 × 130,951.68
  4. Step 4: Simplify right side
    341,315.52x = 67,053,283,937.28
  5. Step 5: Solve for x
    x = 67,053,283,937.28/341,315.52
  6. Step 6: Final answer
    x = 196,455.42

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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.