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Finding the Fourth Proportional to 289,964.20, 434,946.30 and 205,983.40

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Solution

The fourth proportional to 289,964.20, 434,946.30 and 205,983.40 is: 308,975.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,964.20 : 434,946.30 = 205,983.40 : x
  2. Step 2: Convert to fraction form
    289,964.20/434,946.30 = 205,983.40/x
  3. Step 3: Cross multiply
    289,964.20x = 434,946.30 × 205,983.40
  4. Step 4: Simplify right side
    289,964.20x = 89,591,717,691.42
  5. Step 5: Solve for x
    x = 89,591,717,691.42/289,964.20
  6. Step 6: Final answer
    x = 308,975.10

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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.