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Finding the Fourth Proportional to 289,990.54, 434,968.50 and 90,282.82

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Solution

The fourth proportional to 289,990.54, 434,968.50 and 90,282.82 is: 135,418.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,990.54 : 434,968.50 = 90,282.82 : x
  2. Step 2: Convert to fraction form
    289,990.54/434,968.50 = 90,282.82/x
  3. Step 3: Cross multiply
    289,990.54x = 434,968.50 × 90,282.82
  4. Step 4: Simplify right side
    289,990.54x = 39,270,182,791.17
  5. Step 5: Solve for x
    x = 39,270,182,791.17/289,990.54
  6. Step 6: Final answer
    x = 135,418.84

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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.