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Finding the Fourth Proportional to 563,843.46, 778,114.65 and 309,179.46

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Solution

The fourth proportional to 563,843.46, 778,114.65 and 309,179.46 is: 426,673.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,843.46 : 778,114.65 = 309,179.46 : x
  2. Step 2: Convert to fraction form
    563,843.46/778,114.65 = 309,179.46/x
  3. Step 3: Cross multiply
    563,843.46x = 778,114.65 × 309,179.46
  4. Step 4: Simplify right side
    563,843.46x = 240,577,067,305.09
  5. Step 5: Solve for x
    x = 240,577,067,305.09/563,843.46
  6. Step 6: Final answer
    x = 426,673.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.