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Finding the Fourth Proportional to 385,414.40, 578,118.40 and 301,245.31

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Solution

The fourth proportional to 385,414.40, 578,118.40 and 301,245.31 is: 451,865.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,414.40 : 578,118.40 = 301,245.31 : x
  2. Step 2: Convert to fraction form
    385,414.40/578,118.40 = 301,245.31/x
  3. Step 3: Cross multiply
    385,414.40x = 578,118.40 × 301,245.31
  4. Step 4: Simplify right side
    385,414.40x = 174,155,456,624.70
  5. Step 5: Solve for x
    x = 174,155,456,624.70/385,414.40
  6. Step 6: Final answer
    x = 451,865.46

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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.