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Finding the Fourth Proportional to 289,541.20, 434,109.30 and 171,151.60

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Solution

The fourth proportional to 289,541.20, 434,109.30 and 171,151.60 is: 256,607.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,541.20 : 434,109.30 = 171,151.60 : x
  2. Step 2: Convert to fraction form
    289,541.20/434,109.30 = 171,151.60/x
  3. Step 3: Cross multiply
    289,541.20x = 434,109.30 × 171,151.60
  4. Step 4: Simplify right side
    289,541.20x = 74,298,501,269.88
  5. Step 5: Solve for x
    x = 74,298,501,269.88/289,541.20
  6. Step 6: Final answer
    x = 256,607.70

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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.