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Finding the Fourth Proportional to 399,099, 598,128.68 and 162,164.69

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Solution

The fourth proportional to 399,099, 598,128.68 and 162,164.69 is: 243,035.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,099 : 598,128.68 = 162,164.69 : x
  2. Step 2: Convert to fraction form
    399,099/598,128.68 = 162,164.69/x
  3. Step 3: Cross multiply
    399,099x = 598,128.68 × 162,164.69
  4. Step 4: Simplify right side
    399,099x = 96,995,351,972.31
  5. Step 5: Solve for x
    x = 96,995,351,972.31/399,099
  6. Step 6: Final answer
    x = 243,035.82

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1.5x scale

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.