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Finding the Fourth Proportional to 399,009.31, 598,785.09 and 162,395.05

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Solution

The fourth proportional to 399,009.31, 598,785.09 and 162,395.05 is: 243,702.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,009.31 : 598,785.09 = 162,395.05 : x
  2. Step 2: Convert to fraction form
    399,009.31/598,785.09 = 162,395.05/x
  3. Step 3: Cross multiply
    399,009.31x = 598,785.09 × 162,395.05
  4. Step 4: Simplify right side
    399,009.31x = 97,239,734,629.80
  5. Step 5: Solve for x
    x = 97,239,734,629.80/399,009.31
  6. Step 6: Final answer
    x = 243,702.92

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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.