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Finding the Fourth Proportional to 430,683.70, 645,549.80 and 177,824.78

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Solution

The fourth proportional to 430,683.70, 645,549.80 and 177,824.78 is: 266,540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,683.70 : 645,549.80 = 177,824.78 : x
  2. Step 2: Convert to fraction form
    430,683.70/645,549.80 = 177,824.78/x
  3. Step 3: Cross multiply
    430,683.70x = 645,549.80 × 177,824.78
  4. Step 4: Simplify right side
    430,683.70x = 114,794,751,164.04
  5. Step 5: Solve for x
    x = 114,794,751,164.04/430,683.70
  6. Step 6: Final answer
    x = 266,540.74

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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.