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Finding the Fourth Proportional to 399,234.63, 598,425.48 and 199,160.58

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Solution

The fourth proportional to 399,234.63, 598,425.48 and 199,160.58 is: 298,528.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,234.63 : 598,425.48 = 199,160.58 : x
  2. Step 2: Convert to fraction form
    399,234.63/598,425.48 = 199,160.58/x
  3. Step 3: Cross multiply
    399,234.63x = 598,425.48 × 199,160.58
  4. Step 4: Simplify right side
    399,234.63x = 119,182,765,683.58
  5. Step 5: Solve for x
    x = 119,182,765,683.58/399,234.63
  6. Step 6: Final answer
    x = 298,528.13

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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.