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Finding the Fourth Proportional to 410,109.40, 615,820.20 and 310,382.20

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Solution

The fourth proportional to 410,109.40, 615,820.20 and 310,382.20 is: 466,069.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,109.40 : 615,820.20 = 310,382.20 : x
  2. Step 2: Convert to fraction form
    410,109.40/615,820.20 = 310,382.20/x
  3. Step 3: Cross multiply
    410,109.40x = 615,820.20 × 310,382.20
  4. Step 4: Simplify right side
    410,109.40x = 191,139,628,480.44
  5. Step 5: Solve for x
    x = 191,139,628,480.44/410,109.40
  6. Step 6: Final answer
    x = 466,069.85

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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.