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Finding the Fourth Proportional to 290,221.98, 435,501.06 and 121,727.28

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Solution

The fourth proportional to 290,221.98, 435,501.06 and 121,727.28 is: 182,661.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,221.98 : 435,501.06 = 121,727.28 : x
  2. Step 2: Convert to fraction form
    290,221.98/435,501.06 = 121,727.28/x
  3. Step 3: Cross multiply
    290,221.98x = 435,501.06 × 121,727.28
  4. Step 4: Simplify right side
    290,221.98x = 53,012,359,470.92
  5. Step 5: Solve for x
    x = 53,012,359,470.92/290,221.98
  6. Step 6: Final answer
    x = 182,661.42

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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.