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Finding the Fourth Proportional to 290,038.83, 400,163.87 and 169,094.54

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Solution

The fourth proportional to 290,038.83, 400,163.87 and 169,094.54 is: 233,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,038.83 : 400,163.87 = 169,094.54 : x
  2. Step 2: Convert to fraction form
    290,038.83/400,163.87 = 169,094.54/x
  3. Step 3: Cross multiply
    290,038.83x = 400,163.87 × 169,094.54
  4. Step 4: Simplify right side
    290,038.83x = 67,665,522,675.98
  5. Step 5: Solve for x
    x = 67,665,522,675.98/290,038.83
  6. Step 6: Final answer
    x = 233,298.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.