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Finding the Fourth Proportional to 398,662.48, 597,403.20 and 328,086.32

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Solution

The fourth proportional to 398,662.48, 597,403.20 and 328,086.32 is: 491,643.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,662.48 : 597,403.20 = 328,086.32 : x
  2. Step 2: Convert to fraction form
    398,662.48/597,403.20 = 328,086.32/x
  3. Step 3: Cross multiply
    398,662.48x = 597,403.20 × 328,086.32
  4. Step 4: Simplify right side
    398,662.48x = 195,999,817,444.22
  5. Step 5: Solve for x
    x = 195,999,817,444.22/398,662.48
  6. Step 6: Final answer
    x = 491,643.50

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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.