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Finding the Fourth Proportional to 399,100, 598,130.18 and 162,165.69

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Solution

The fourth proportional to 399,100, 598,130.18 and 162,165.69 is: 243,037.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,100 : 598,130.18 = 162,165.69 : x
  2. Step 2: Convert to fraction form
    399,100/598,130.18 = 162,165.69/x
  3. Step 3: Cross multiply
    399,100x = 598,130.18 × 162,165.69
  4. Step 4: Simplify right side
    399,100x = 96,996,193,349.52
  5. Step 5: Solve for x
    x = 96,996,193,349.52/399,100
  6. Step 6: Final answer
    x = 243,037.32

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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.