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Finding the Fourth Proportional to 341,402.40, 512,103.60 and 208,542.15

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Solution

The fourth proportional to 341,402.40, 512,103.60 and 208,542.15 is: 312,813.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,402.40 : 512,103.60 = 208,542.15 : x
  2. Step 2: Convert to fraction form
    341,402.40/512,103.60 = 208,542.15/x
  3. Step 3: Cross multiply
    341,402.40x = 512,103.60 × 208,542.15
  4. Step 4: Simplify right side
    341,402.40x = 106,795,185,766.74
  5. Step 5: Solve for x
    x = 106,795,185,766.74/341,402.40
  6. Step 6: Final answer
    x = 312,813.23

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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.