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Finding the Fourth Proportional to 399,285.80, 599,241.72 and 278,557.64

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Solution

The fourth proportional to 399,285.80, 599,241.72 and 278,557.64 is: 418,054.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,285.80 : 599,241.72 = 278,557.64 : x
  2. Step 2: Convert to fraction form
    399,285.80/599,241.72 = 278,557.64/x
  3. Step 3: Cross multiply
    399,285.80x = 599,241.72 × 278,557.64
  4. Step 4: Simplify right side
    399,285.80x = 166,923,359,312.74
  5. Step 5: Solve for x
    x = 166,923,359,312.74/399,285.80
  6. Step 6: Final answer
    x = 418,054.84

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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.