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Finding the Fourth Proportional to 399,069.18, 598,713.12 and 199,148.22

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Solution

The fourth proportional to 399,069.18, 598,713.12 and 199,148.22 is: 298,776.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,069.18 : 598,713.12 = 199,148.22 : x
  2. Step 2: Convert to fraction form
    399,069.18/598,713.12 = 199,148.22/x
  3. Step 3: Cross multiply
    399,069.18x = 598,713.12 × 199,148.22
  4. Step 4: Simplify right side
    399,069.18x = 119,232,652,138.65
  5. Step 5: Solve for x
    x = 119,232,652,138.65/399,069.18
  6. Step 6: Final answer
    x = 298,776.90

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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.