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Finding the Fourth Proportional to 289,391.28, 434,193.30 and 120,928.56

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Solution

The fourth proportional to 289,391.28, 434,193.30 and 120,928.56 is: 181,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,391.28 : 434,193.30 = 120,928.56 : x
  2. Step 2: Convert to fraction form
    289,391.28/434,193.30 = 120,928.56/x
  3. Step 3: Cross multiply
    289,391.28x = 434,193.30 × 120,928.56
  4. Step 4: Simplify right side
    289,391.28x = 52,506,370,530.65
  5. Step 5: Solve for x
    x = 52,506,370,530.65/289,391.28
  6. Step 6: Final answer
    x = 181,437.29

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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.