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Finding the Fourth Proportional to 289,682.40, 434,566.80 and 102,679.20

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Solution

The fourth proportional to 289,682.40, 434,566.80 and 102,679.20 is: 154,034.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,682.40 : 434,566.80 = 102,679.20 : x
  2. Step 2: Convert to fraction form
    289,682.40/434,566.80 = 102,679.20/x
  3. Step 3: Cross multiply
    289,682.40x = 434,566.80 × 102,679.20
  4. Step 4: Simplify right side
    289,682.40x = 44,620,971,370.56
  5. Step 5: Solve for x
    x = 44,620,971,370.56/289,682.40
  6. Step 6: Final answer
    x = 154,034.11

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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.