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Finding the Fourth Proportional to 289,548.40, 434,328.90 and 203,808.88

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Solution

The fourth proportional to 289,548.40, 434,328.90 and 203,808.88 is: 305,717.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,548.40 : 434,328.90 = 203,808.88 : x
  2. Step 2: Convert to fraction form
    289,548.40/434,328.90 = 203,808.88/x
  3. Step 3: Cross multiply
    289,548.40x = 434,328.90 × 203,808.88
  4. Step 4: Simplify right side
    289,548.40x = 88,520,086,660.63
  5. Step 5: Solve for x
    x = 88,520,086,660.63/289,548.40
  6. Step 6: Final answer
    x = 305,717.76

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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.