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Finding the Fourth Proportional to 290,228.40, 435,238.92 and 103,202.64

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Solution

The fourth proportional to 290,228.40, 435,238.92 and 103,202.64 is: 154,767.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,228.40 : 435,238.92 = 103,202.64 : x
  2. Step 2: Convert to fraction form
    290,228.40/435,238.92 = 103,202.64/x
  3. Step 3: Cross multiply
    290,228.40x = 435,238.92 × 103,202.64
  4. Step 4: Simplify right side
    290,228.40x = 44,917,805,574.75
  5. Step 5: Solve for x
    x = 44,917,805,574.75/290,228.40
  6. Step 6: Final answer
    x = 154,767.09

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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.