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Finding the Fourth Proportional to 398,245.30, 596,383.80 and 264,400.90

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Solution

The fourth proportional to 398,245.30, 596,383.80 and 264,400.90 is: 395,947.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,245.30 : 596,383.80 = 264,400.90 : x
  2. Step 2: Convert to fraction form
    398,245.30/596,383.80 = 264,400.90/x
  3. Step 3: Cross multiply
    398,245.30x = 596,383.80 × 264,400.90
  4. Step 4: Simplify right side
    398,245.30x = 157,684,413,465.42
  5. Step 5: Solve for x
    x = 157,684,413,465.42/398,245.30
  6. Step 6: Final answer
    x = 395,947.96

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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.