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Finding the Fourth Proportional to 266,704.40, 400,315.80 and 161,728.40

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Solution

The fourth proportional to 266,704.40, 400,315.80 and 161,728.40 is: 242,749.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,704.40 : 400,315.80 = 161,728.40 : x
  2. Step 2: Convert to fraction form
    266,704.40/400,315.80 = 161,728.40/x
  3. Step 3: Cross multiply
    266,704.40x = 400,315.80 × 161,728.40
  4. Step 4: Simplify right side
    266,704.40x = 64,742,433,828.72
  5. Step 5: Solve for x
    x = 64,742,433,828.72/266,704.40
  6. Step 6: Final answer
    x = 242,749.78

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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.