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Finding the Fourth Proportional to 407,738.52, 611,817.66 and 168,029.54

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Solution

The fourth proportional to 407,738.52, 611,817.66 and 168,029.54 is: 252,130.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,738.52 : 611,817.66 = 168,029.54 : x
  2. Step 2: Convert to fraction form
    407,738.52/611,817.66 = 168,029.54/x
  3. Step 3: Cross multiply
    407,738.52x = 611,817.66 × 168,029.54
  4. Step 4: Simplify right side
    407,738.52x = 102,803,440,873.11
  5. Step 5: Solve for x
    x = 102,803,440,873.11/407,738.52
  6. Step 6: Final answer
    x = 252,130.80

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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.