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Finding the Fourth Proportional to 289,520.61, 434,229.84 and 111,881.58

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Solution

The fourth proportional to 289,520.61, 434,229.84 and 111,881.58 is: 167,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,520.61 : 434,229.84 = 111,881.58 : x
  2. Step 2: Convert to fraction form
    289,520.61/434,229.84 = 111,881.58/x
  3. Step 3: Cross multiply
    289,520.61x = 434,229.84 × 111,881.58
  4. Step 4: Simplify right side
    289,520.61x = 48,582,320,582.35
  5. Step 5: Solve for x
    x = 48,582,320,582.35/289,520.61
  6. Step 6: Final answer
    x = 167,802.63

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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.