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Finding the Fourth Proportional to 290,104.20, 434,810.70 and 121,624.20

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Solution

The fourth proportional to 290,104.20, 434,810.70 and 121,624.20 is: 182,291.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,104.20 : 434,810.70 = 121,624.20 : x
  2. Step 2: Convert to fraction form
    290,104.20/434,810.70 = 121,624.20/x
  3. Step 3: Cross multiply
    290,104.20x = 434,810.70 × 121,624.20
  4. Step 4: Simplify right side
    290,104.20x = 52,883,503,538.94
  5. Step 5: Solve for x
    x = 52,883,503,538.94/290,104.20
  6. Step 6: Final answer
    x = 182,291.41

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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.