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Finding the Fourth Proportional to 399,262.42, 598,395.23 and 199,639.89

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Solution

The fourth proportional to 399,262.42, 598,395.23 and 199,639.89 is: 299,210.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,262.42 : 598,395.23 = 199,639.89 : x
  2. Step 2: Convert to fraction form
    399,262.42/598,395.23 = 199,639.89/x
  3. Step 3: Cross multiply
    399,262.42x = 598,395.23 × 199,639.89
  4. Step 4: Simplify right side
    399,262.42x = 119,463,557,893.73
  5. Step 5: Solve for x
    x = 119,463,557,893.73/399,262.42
  6. Step 6: Final answer
    x = 299,210.62

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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.