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Finding the Fourth Proportional to 289,796.20, 434,387.44 and 97,487.52

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Solution

The fourth proportional to 289,796.20, 434,387.44 and 97,487.52 is: 146,128.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,796.20 : 434,387.44 = 97,487.52 : x
  2. Step 2: Convert to fraction form
    289,796.20/434,387.44 = 97,487.52/x
  3. Step 3: Cross multiply
    289,796.20x = 434,387.44 × 97,487.52
  4. Step 4: Simplify right side
    289,796.20x = 42,347,354,244.75
  5. Step 5: Solve for x
    x = 42,347,354,244.75/289,796.20
  6. Step 6: Final answer
    x = 146,128.05

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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.