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Finding the Fourth Proportional to 289,740.10, 434,521.80 and 200,357.44

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Solution

The fourth proportional to 289,740.10, 434,521.80 and 200,357.44 is: 300,475.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,740.10 : 434,521.80 = 200,357.44 : x
  2. Step 2: Convert to fraction form
    289,740.10/434,521.80 = 200,357.44/x
  3. Step 3: Cross multiply
    289,740.10x = 434,521.80 × 200,357.44
  4. Step 4: Simplify right side
    289,740.10x = 87,059,675,472.19
  5. Step 5: Solve for x
    x = 87,059,675,472.19/289,740.10
  6. Step 6: Final answer
    x = 300,475.07

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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.