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Finding the Fourth Proportional to 538,120.96, 807,071.34 and 201,099.40

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Solution

The fourth proportional to 538,120.96, 807,071.34 and 201,099.40 is: 301,607.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,120.96 : 807,071.34 = 201,099.40 : x
  2. Step 2: Convert to fraction form
    538,120.96/807,071.34 = 201,099.40/x
  3. Step 3: Cross multiply
    538,120.96x = 807,071.34 × 201,099.40
  4. Step 4: Simplify right side
    538,120.96x = 162,301,562,231.20
  5. Step 5: Solve for x
    x = 162,301,562,231.20/538,120.96
  6. Step 6: Final answer
    x = 301,607.95

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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.