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Finding the Fourth Proportional to 290,429.25, 435,474.73 and 112,728.66

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Solution

The fourth proportional to 290,429.25, 435,474.73 and 112,728.66 is: 169,027.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,429.25 : 435,474.73 = 112,728.66 : x
  2. Step 2: Convert to fraction form
    290,429.25/435,474.73 = 112,728.66/x
  3. Step 3: Cross multiply
    290,429.25x = 435,474.73 × 112,728.66
  4. Step 4: Simplify right side
    290,429.25x = 49,090,483,734.19
  5. Step 5: Solve for x
    x = 49,090,483,734.19/290,429.25
  6. Step 6: Final answer
    x = 169,027.34

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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.