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Finding the Fourth Proportional to 410,143.80, 615,215.70 and 298,606.80

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Solution

The fourth proportional to 410,143.80, 615,215.70 and 298,606.80 is: 447,910.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,143.80 : 615,215.70 = 298,606.80 : x
  2. Step 2: Convert to fraction form
    410,143.80/615,215.70 = 298,606.80/x
  3. Step 3: Cross multiply
    410,143.80x = 615,215.70 × 298,606.80
  4. Step 4: Simplify right side
    410,143.80x = 183,707,591,486.76
  5. Step 5: Solve for x
    x = 183,707,591,486.76/410,143.80
  6. Step 6: Final answer
    x = 447,910.20

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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.