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Finding the Fourth Proportional to 410,816.70, 615,015.45 and 306,099.90

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Solution

The fourth proportional to 410,816.70, 615,015.45 and 306,099.90 is: 458,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,816.70 : 615,015.45 = 306,099.90 : x
  2. Step 2: Convert to fraction form
    410,816.70/615,015.45 = 306,099.90/x
  3. Step 3: Cross multiply
    410,816.70x = 615,015.45 × 306,099.90
  4. Step 4: Simplify right side
    410,816.70x = 188,256,167,743.46
  5. Step 5: Solve for x
    x = 188,256,167,743.46/410,816.70
  6. Step 6: Final answer
    x = 458,248.58

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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.