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Finding the Fourth Proportional to 343,139.54, 514,705.32 and 140,690.43

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Solution

The fourth proportional to 343,139.54, 514,705.32 and 140,690.43 is: 211,034.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,139.54 : 514,705.32 = 140,690.43 : x
  2. Step 2: Convert to fraction form
    343,139.54/514,705.32 = 140,690.43/x
  3. Step 3: Cross multiply
    343,139.54x = 514,705.32 × 140,690.43
  4. Step 4: Simplify right side
    343,139.54x = 72,414,112,794.09
  5. Step 5: Solve for x
    x = 72,414,112,794.09/343,139.54
  6. Step 6: Final answer
    x = 211,034.01

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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.