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Finding the Fourth Proportional to 465,309.23, 698,012.39 and 128,349.93

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Solution

The fourth proportional to 465,309.23, 698,012.39 and 128,349.93 is: 192,538.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,309.23 : 698,012.39 = 128,349.93 : x
  2. Step 2: Convert to fraction form
    465,309.23/698,012.39 = 128,349.93/x
  3. Step 3: Cross multiply
    465,309.23x = 698,012.39 × 128,349.93
  4. Step 4: Simplify right side
    465,309.23x = 89,589,840,753.88
  5. Step 5: Solve for x
    x = 89,589,840,753.88/465,309.23
  6. Step 6: Final answer
    x = 192,538.29

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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.