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Finding the Fourth Proportional to 290,261.60, 435,560.54 and 121,767

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Solution

The fourth proportional to 290,261.60, 435,560.54 and 121,767 is: 182,721.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,261.60 : 435,560.54 = 121,767 : x
  2. Step 2: Convert to fraction form
    290,261.60/435,560.54 = 121,767/x
  3. Step 3: Cross multiply
    290,261.60x = 435,560.54 × 121,767
  4. Step 4: Simplify right side
    290,261.60x = 53,036,900,274.18
  5. Step 5: Solve for x
    x = 53,036,900,274.18/290,261.60
  6. Step 6: Final answer
    x = 182,721.04

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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.