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Finding the Fourth Proportional to 289,437, 434,197.68 and 89,773.60

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Solution

The fourth proportional to 289,437, 434,197.68 and 89,773.60 is: 134,673.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,437 : 434,197.68 = 89,773.60 : x
  2. Step 2: Convert to fraction form
    289,437/434,197.68 = 89,773.60/x
  3. Step 3: Cross multiply
    289,437x = 434,197.68 × 89,773.60
  4. Step 4: Simplify right side
    289,437x = 38,979,488,845.25
  5. Step 5: Solve for x
    x = 38,979,488,845.25/289,437
  6. Step 6: Final answer
    x = 134,673.48

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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.