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Finding the Fourth Proportional to 410,057.40, 615,086.10 and 378,564.60

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Solution

The fourth proportional to 410,057.40, 615,086.10 and 378,564.60 is: 567,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,057.40 : 615,086.10 = 378,564.60 : x
  2. Step 2: Convert to fraction form
    410,057.40/615,086.10 = 378,564.60/x
  3. Step 3: Cross multiply
    410,057.40x = 615,086.10 × 378,564.60
  4. Step 4: Simplify right side
    410,057.40x = 232,849,823,412.06
  5. Step 5: Solve for x
    x = 232,849,823,412.06/410,057.40
  6. Step 6: Final answer
    x = 567,846.90

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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.