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Finding the Fourth Proportional to 290,215.52, 434,196.96 and 254,407.49

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Solution

The fourth proportional to 290,215.52, 434,196.96 and 254,407.49 is: 380,623.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,215.52 : 434,196.96 = 254,407.49 : x
  2. Step 2: Convert to fraction form
    290,215.52/434,196.96 = 254,407.49/x
  3. Step 3: Cross multiply
    290,215.52x = 434,196.96 × 254,407.49
  4. Step 4: Simplify right side
    290,215.52x = 110,462,958,759.23
  5. Step 5: Solve for x
    x = 110,462,958,759.23/290,215.52
  6. Step 6: Final answer
    x = 380,623.89

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1.5x scale

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.