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Finding the Fourth Proportional to 290,227.88, 435,509.94 and 121,733.18

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Solution

The fourth proportional to 290,227.88, 435,509.94 and 121,733.18 is: 182,670.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,227.88 : 435,509.94 = 121,733.18 : x
  2. Step 2: Convert to fraction form
    290,227.88/435,509.94 = 121,733.18/x
  3. Step 3: Cross multiply
    290,227.88x = 435,509.94 × 121,733.18
  4. Step 4: Simplify right side
    290,227.88x = 53,016,009,917.81
  5. Step 5: Solve for x
    x = 53,016,009,917.81/290,227.88
  6. Step 6: Final answer
    x = 182,670.29

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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.