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Finding the Fourth Proportional to 399,728.64, 599,592.96 and 119,442.72

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Solution

The fourth proportional to 399,728.64, 599,592.96 and 119,442.72 is: 179,164.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,728.64 : 599,592.96 = 119,442.72 : x
  2. Step 2: Convert to fraction form
    399,728.64/599,592.96 = 119,442.72/x
  3. Step 3: Cross multiply
    399,728.64x = 599,592.96 × 119,442.72
  4. Step 4: Simplify right side
    399,728.64x = 71,617,014,035.25
  5. Step 5: Solve for x
    x = 71,617,014,035.25/399,728.64
  6. Step 6: Final answer
    x = 179,164.08

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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.