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Finding the Fourth Proportional to 354,490.83, 530,487.21 and 221,433.75

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Solution

The fourth proportional to 354,490.83, 530,487.21 and 221,433.75 is: 331,370.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,490.83 : 530,487.21 = 221,433.75 : x
  2. Step 2: Convert to fraction form
    354,490.83/530,487.21 = 221,433.75/x
  3. Step 3: Cross multiply
    354,490.83x = 530,487.21 × 221,433.75
  4. Step 4: Simplify right side
    354,490.83x = 117,467,772,237.34
  5. Step 5: Solve for x
    x = 117,467,772,237.34/354,490.83
  6. Step 6: Final answer
    x = 331,370.41

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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.