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Finding the Fourth Proportional to 399,609.63, 599,414.45 and 162,970.83

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Solution

The fourth proportional to 399,609.63, 599,414.45 and 162,970.83 is: 244,456.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,609.63 : 599,414.45 = 162,970.83 : x
  2. Step 2: Convert to fraction form
    399,609.63/599,414.45 = 162,970.83/x
  3. Step 3: Cross multiply
    399,609.63x = 599,414.45 × 162,970.83
  4. Step 4: Simplify right side
    399,609.63x = 97,687,069,615.64
  5. Step 5: Solve for x
    x = 97,687,069,615.64/399,609.63
  6. Step 6: Final answer
    x = 244,456.25

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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.