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Finding the Fourth Proportional to 290,917.77, 401,419.76 and 163,585.77

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Solution

The fourth proportional to 290,917.77, 401,419.76 and 163,585.77 is: 225,722.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,917.77 : 401,419.76 = 163,585.77 : x
  2. Step 2: Convert to fraction form
    290,917.77/401,419.76 = 163,585.77/x
  3. Step 3: Cross multiply
    290,917.77x = 401,419.76 × 163,585.77
  4. Step 4: Simplify right side
    290,917.77x = 65,666,560,532.82
  5. Step 5: Solve for x
    x = 65,666,560,532.82/290,917.77
  6. Step 6: Final answer
    x = 225,722.07

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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.