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Finding the Fourth Proportional to 289,947.40, 434,921.10 and 205,966.60

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Solution

The fourth proportional to 289,947.40, 434,921.10 and 205,966.60 is: 308,949.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,947.40 : 434,921.10 = 205,966.60 : x
  2. Step 2: Convert to fraction form
    289,947.40/434,921.10 = 205,966.60/x
  3. Step 3: Cross multiply
    289,947.40x = 434,921.10 × 205,966.60
  4. Step 4: Simplify right side
    289,947.40x = 89,579,220,235.26
  5. Step 5: Solve for x
    x = 89,579,220,235.26/289,947.40
  6. Step 6: Final answer
    x = 308,949.90

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Double scale
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Similar ratio
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1.5x scale

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.