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Finding the Fourth Proportional to 398,485.60, 595,978.80 and 304,007.20

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Solution

The fourth proportional to 398,485.60, 595,978.80 and 304,007.20 is: 454,676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,485.60 : 595,978.80 = 304,007.20 : x
  2. Step 2: Convert to fraction form
    398,485.60/595,978.80 = 304,007.20/x
  3. Step 3: Cross multiply
    398,485.60x = 595,978.80 × 304,007.20
  4. Step 4: Simplify right side
    398,485.60x = 181,181,846,247.36
  5. Step 5: Solve for x
    x = 181,181,846,247.36/398,485.60
  6. Step 6: Final answer
    x = 454,676.02

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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.