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Finding the Fourth Proportional to 399,074.45, 598,715.35 and 199,386.77

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Solution

The fourth proportional to 399,074.45, 598,715.35 and 199,386.77 is: 299,131.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,074.45 : 598,715.35 = 199,386.77 : x
  2. Step 2: Convert to fraction form
    399,074.45/598,715.35 = 199,386.77/x
  3. Step 3: Cross multiply
    399,074.45x = 598,715.35 × 199,386.77
  4. Step 4: Simplify right side
    399,074.45x = 119,375,916,293.88
  5. Step 5: Solve for x
    x = 119,375,916,293.88/399,074.45
  6. Step 6: Final answer
    x = 299,131.95

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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.