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Finding the Fourth Proportional to 290,222.78, 435,502.24 and 121,728.10

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Solution

The fourth proportional to 290,222.78, 435,502.24 and 121,728.10 is: 182,662.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,222.78 : 435,502.24 = 121,728.10 : x
  2. Step 2: Convert to fraction form
    290,222.78/435,502.24 = 121,728.10/x
  3. Step 3: Cross multiply
    290,222.78x = 435,502.24 × 121,728.10
  4. Step 4: Simplify right side
    290,222.78x = 53,012,860,220.94
  5. Step 5: Solve for x
    x = 53,012,860,220.94/290,222.78
  6. Step 6: Final answer
    x = 182,662.64

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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.