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Finding the Fourth Proportional to 474,446.21, 711,705.78 and 137,491.47

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Solution

The fourth proportional to 474,446.21, 711,705.78 and 137,491.47 is: 206,247.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,446.21 : 711,705.78 = 137,491.47 : x
  2. Step 2: Convert to fraction form
    474,446.21/711,705.78 = 137,491.47/x
  3. Step 3: Cross multiply
    474,446.21x = 711,705.78 × 137,491.47
  4. Step 4: Simplify right side
    474,446.21x = 97,853,473,899.70
  5. Step 5: Solve for x
    x = 97,853,473,899.70/474,446.21
  6. Step 6: Final answer
    x = 206,247.77

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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.