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Finding the Fourth Proportional to 517,093.12, 775,649.28 and 162,099.20

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Solution

The fourth proportional to 517,093.12, 775,649.28 and 162,099.20 is: 243,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,093.12 : 775,649.28 = 162,099.20 : x
  2. Step 2: Convert to fraction form
    517,093.12/775,649.28 = 162,099.20/x
  3. Step 3: Cross multiply
    517,093.12x = 775,649.28 × 162,099.20
  4. Step 4: Simplify right side
    517,093.12x = 125,732,127,768.58
  5. Step 5: Solve for x
    x = 125,732,127,768.58/517,093.12
  6. Step 6: Final answer
    x = 243,151.81

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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.