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Finding the Fourth Proportional to 221,402.70, 332,104.05 and 146,607.30

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Solution

The fourth proportional to 221,402.70, 332,104.05 and 146,607.30 is: 219,910.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,402.70 : 332,104.05 = 146,607.30 : x
  2. Step 2: Convert to fraction form
    221,402.70/332,104.05 = 146,607.30/x
  3. Step 3: Cross multiply
    221,402.70x = 332,104.05 × 146,607.30
  4. Step 4: Simplify right side
    221,402.70x = 48,688,878,089.57
  5. Step 5: Solve for x
    x = 48,688,878,089.57/221,402.70
  6. Step 6: Final answer
    x = 219,910.95

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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.