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Finding the Fourth Proportional to 430,618, 645,738.52 and 217,254.64

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Solution

The fourth proportional to 430,618, 645,738.52 and 217,254.64 is: 325,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,618 : 645,738.52 = 217,254.64 : x
  2. Step 2: Convert to fraction form
    430,618/645,738.52 = 217,254.64/x
  3. Step 3: Cross multiply
    430,618x = 645,738.52 × 217,254.64
  4. Step 4: Simplify right side
    430,618x = 140,289,689,696.73
  5. Step 5: Solve for x
    x = 140,289,689,696.73/430,618
  6. Step 6: Final answer
    x = 325,786.87

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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.