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Finding the Fourth Proportional to 354,491.20, 531,890.40 and 167,406.40

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Solution

The fourth proportional to 354,491.20, 531,890.40 and 167,406.40 is: 251,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,491.20 : 531,890.40 = 167,406.40 : x
  2. Step 2: Convert to fraction form
    354,491.20/531,890.40 = 167,406.40/x
  3. Step 3: Cross multiply
    354,491.20x = 531,890.40 × 167,406.40
  4. Step 4: Simplify right side
    354,491.20x = 89,041,857,058.56
  5. Step 5: Solve for x
    x = 89,041,857,058.56/354,491.20
  6. Step 6: Final answer
    x = 251,182.14

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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.