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Finding the Fourth Proportional to 289,717.40, 434,597.70 and 102,704.60

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Solution

The fourth proportional to 289,717.40, 434,597.70 and 102,704.60 is: 154,064.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,717.40 : 434,597.70 = 102,704.60 : x
  2. Step 2: Convert to fraction form
    289,717.40/434,597.70 = 102,704.60/x
  3. Step 3: Cross multiply
    289,717.40x = 434,597.70 × 102,704.60
  4. Step 4: Simplify right side
    289,717.40x = 44,635,182,939.42
  5. Step 5: Solve for x
    x = 44,635,182,939.42/289,717.40
  6. Step 6: Final answer
    x = 154,064.56

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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.