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Finding the Fourth Proportional to 341,563.60, 512,345.40 and 208,853.20

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Solution

The fourth proportional to 341,563.60, 512,345.40 and 208,853.20 is: 313,279.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,563.60 : 512,345.40 = 208,853.20 : x
  2. Step 2: Convert to fraction form
    341,563.60/512,345.40 = 208,853.20/x
  3. Step 3: Cross multiply
    341,563.60x = 512,345.40 × 208,853.20
  4. Step 4: Simplify right side
    341,563.60x = 107,004,976,295.28
  5. Step 5: Solve for x
    x = 107,004,976,295.28/341,563.60
  6. Step 6: Final answer
    x = 313,279.80

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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.