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Finding the Fourth Proportional to 410,546.70, 615,820.05 and 268,829.10

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Solution

The fourth proportional to 410,546.70, 615,820.05 and 268,829.10 is: 403,243.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,546.70 : 615,820.05 = 268,829.10 : x
  2. Step 2: Convert to fraction form
    410,546.70/615,820.05 = 268,829.10/x
  3. Step 3: Cross multiply
    410,546.70x = 615,820.05 × 268,829.10
  4. Step 4: Simplify right side
    410,546.70x = 165,550,349,803.46
  5. Step 5: Solve for x
    x = 165,550,349,803.46/410,546.70
  6. Step 6: Final answer
    x = 403,243.65

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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.