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Finding the Fourth Proportional to 280,494.96, 420,901.56 and 102,978.96

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Solution

The fourth proportional to 280,494.96, 420,901.56 and 102,978.96 is: 154,526.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,494.96 : 420,901.56 = 102,978.96 : x
  2. Step 2: Convert to fraction form
    280,494.96/420,901.56 = 102,978.96/x
  3. Step 3: Cross multiply
    280,494.96x = 420,901.56 × 102,978.96
  4. Step 4: Simplify right side
    280,494.96x = 43,344,004,911.18
  5. Step 5: Solve for x
    x = 43,344,004,911.18/280,494.96
  6. Step 6: Final answer
    x = 154,526.86

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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.