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Finding the Fourth Proportional to 398,206.82, 597,316.31 and 145,538.66

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Solution

The fourth proportional to 398,206.82, 597,316.31 and 145,538.66 is: 218,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,206.82 : 597,316.31 = 145,538.66 : x
  2. Step 2: Convert to fraction form
    398,206.82/597,316.31 = 145,538.66/x
  3. Step 3: Cross multiply
    398,206.82x = 597,316.31 × 145,538.66
  4. Step 4: Simplify right side
    398,206.82x = 86,932,611,639.27
  5. Step 5: Solve for x
    x = 86,932,611,639.27/398,206.82
  6. Step 6: Final answer
    x = 218,310.21

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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.