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Finding the Fourth Proportional to 219,374.20, 329,061.30 and 144,724.60

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Solution

The fourth proportional to 219,374.20, 329,061.30 and 144,724.60 is: 217,086.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,374.20 : 329,061.30 = 144,724.60 : x
  2. Step 2: Convert to fraction form
    219,374.20/329,061.30 = 144,724.60/x
  3. Step 3: Cross multiply
    219,374.20x = 329,061.30 × 144,724.60
  4. Step 4: Simplify right side
    219,374.20x = 47,623,265,017.98
  5. Step 5: Solve for x
    x = 47,623,265,017.98/219,374.20
  6. Step 6: Final answer
    x = 217,086.90

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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.