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Finding the Fourth Proportional to 289,991.04, 434,969.25 and 90,283.32

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Solution

The fourth proportional to 289,991.04, 434,969.25 and 90,283.32 is: 135,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,991.04 : 434,969.25 = 90,283.32 : x
  2. Step 2: Convert to fraction form
    289,991.04/434,969.25 = 90,283.32/x
  3. Step 3: Cross multiply
    289,991.04x = 434,969.25 × 90,283.32
  4. Step 4: Simplify right side
    289,991.04x = 39,270,467,987.91
  5. Step 5: Solve for x
    x = 39,270,467,987.91/289,991.04
  6. Step 6: Final answer
    x = 135,419.59

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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.