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Finding the Fourth Proportional to 399,074.68, 598,721.37 and 199,153.72

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Solution

The fourth proportional to 399,074.68, 598,721.37 and 199,153.72 is: 298,785.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,074.68 : 598,721.37 = 199,153.72 : x
  2. Step 2: Convert to fraction form
    399,074.68/598,721.37 = 199,153.72/x
  3. Step 3: Cross multiply
    399,074.68x = 598,721.37 × 199,153.72
  4. Step 4: Simplify right side
    399,074.68x = 119,237,588,079.00
  5. Step 5: Solve for x
    x = 119,237,588,079.00/399,074.68
  6. Step 6: Final answer
    x = 298,785.15

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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.