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Finding the Fourth Proportional to 282,257.46, 423,423.72 and 149,143.14

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Solution

The fourth proportional to 282,257.46, 423,423.72 and 149,143.14 is: 223,734.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,257.46 : 423,423.72 = 149,143.14 : x
  2. Step 2: Convert to fraction form
    282,257.46/423,423.72 = 149,143.14/x
  3. Step 3: Cross multiply
    282,257.46x = 423,423.72 × 149,143.14
  4. Step 4: Simplify right side
    282,257.46x = 63,150,743,151.28
  5. Step 5: Solve for x
    x = 63,150,743,151.28/282,257.46
  6. Step 6: Final answer
    x = 223,734.54

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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.