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Finding the Fourth Proportional to 289,691.40, 434,558.70 and 102,678.60

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Solution

The fourth proportional to 289,691.40, 434,558.70 and 102,678.60 is: 154,025.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,691.40 : 434,558.70 = 102,678.60 : x
  2. Step 2: Convert to fraction form
    289,691.40/434,558.70 = 102,678.60/x
  3. Step 3: Cross multiply
    289,691.40x = 434,558.70 × 102,678.60
  4. Step 4: Simplify right side
    289,691.40x = 44,619,878,933.82
  5. Step 5: Solve for x
    x = 44,619,878,933.82/289,691.40
  6. Step 6: Final answer
    x = 154,025.56

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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.