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Finding the Fourth Proportional to 290,941.15, 401,503.68 and 161,889.92

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Solution

The fourth proportional to 290,941.15, 401,503.68 and 161,889.92 is: 223,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,941.15 : 401,503.68 = 161,889.92 : x
  2. Step 2: Convert to fraction form
    290,941.15/401,503.68 = 161,889.92/x
  3. Step 3: Cross multiply
    290,941.15x = 401,503.68 × 161,889.92
  4. Step 4: Simplify right side
    290,941.15x = 64,999,399,638.66
  5. Step 5: Solve for x
    x = 64,999,399,638.66/290,941.15
  6. Step 6: Final answer
    x = 223,410.82

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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.