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Finding the Fourth Proportional to 398,503.06, 597,637.94 and 328,208.02

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Solution

The fourth proportional to 398,503.06, 597,637.94 and 328,208.02 is: 492,215.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,503.06 : 597,637.94 = 328,208.02 : x
  2. Step 2: Convert to fraction form
    398,503.06/597,637.94 = 328,208.02/x
  3. Step 3: Cross multiply
    398,503.06x = 597,637.94 × 328,208.02
  4. Step 4: Simplify right side
    398,503.06x = 196,149,564,964.28
  5. Step 5: Solve for x
    x = 196,149,564,964.28/398,503.06
  6. Step 6: Final answer
    x = 492,215.96

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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.