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Finding the Fourth Proportional to 341,645.40, 512,929.80 and 199,636.20

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Solution

The fourth proportional to 341,645.40, 512,929.80 and 199,636.20 is: 299,724.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,645.40 : 512,929.80 = 199,636.20 : x
  2. Step 2: Convert to fraction form
    341,645.40/512,929.80 = 199,636.20/x
  3. Step 3: Cross multiply
    341,645.40x = 512,929.80 × 199,636.20
  4. Step 4: Simplify right side
    341,645.40x = 102,399,356,138.76
  5. Step 5: Solve for x
    x = 102,399,356,138.76/341,645.40
  6. Step 6: Final answer
    x = 299,724.09

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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.