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Finding the Fourth Proportional to 399,622.34, 598,916.81 and 298,993.00

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Solution

The fourth proportional to 399,622.34, 598,916.81 and 298,993.00 is: 448,102.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,622.34 : 598,916.81 = 298,993.00 : x
  2. Step 2: Convert to fraction form
    399,622.34/598,916.81 = 298,993.00/x
  3. Step 3: Cross multiply
    399,622.34x = 598,916.81 × 298,993.00
  4. Step 4: Simplify right side
    399,622.34x = 179,071,933,022.52
  5. Step 5: Solve for x
    x = 179,071,933,022.52/399,622.34
  6. Step 6: Final answer
    x = 448,102.91

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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.