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Finding the Fourth Proportional to 289,791.68, 434,380.71 and 97,483.03

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Solution

The fourth proportional to 289,791.68, 434,380.71 and 97,483.03 is: 146,121.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,791.68 : 434,380.71 = 97,483.03 : x
  2. Step 2: Convert to fraction form
    289,791.68/434,380.71 = 97,483.03/x
  3. Step 3: Cross multiply
    289,791.68x = 434,380.71 × 97,483.03
  4. Step 4: Simplify right side
    289,791.68x = 42,344,747,784.35
  5. Step 5: Solve for x
    x = 42,344,747,784.35/289,791.68
  6. Step 6: Final answer
    x = 146,121.34

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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.