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Finding the Fourth Proportional to 410,230.98, 615,418.70 and 140,295.66

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Solution

The fourth proportional to 410,230.98, 615,418.70 and 140,295.66 is: 210,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,230.98 : 615,418.70 = 140,295.66 : x
  2. Step 2: Convert to fraction form
    410,230.98/615,418.70 = 140,295.66/x
  3. Step 3: Cross multiply
    410,230.98x = 615,418.70 × 140,295.66
  4. Step 4: Simplify right side
    410,230.98x = 86,340,571,991.36
  5. Step 5: Solve for x
    x = 86,340,571,991.36/410,230.98
  6. Step 6: Final answer
    x = 210,468.19

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1.5x scale

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.