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Finding the Fourth Proportional to 443,491.64, 665,499.90 and 163,205.72

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Solution

The fourth proportional to 443,491.64, 665,499.90 and 163,205.72 is: 244,905.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,491.64 : 665,499.90 = 163,205.72 : x
  2. Step 2: Convert to fraction form
    443,491.64/665,499.90 = 163,205.72/x
  3. Step 3: Cross multiply
    443,491.64x = 665,499.90 × 163,205.72
  4. Step 4: Simplify right side
    443,491.64x = 108,613,390,339.43
  5. Step 5: Solve for x
    x = 108,613,390,339.43/443,491.64
  6. Step 6: Final answer
    x = 244,905.16

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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.