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Finding the Fourth Proportional to 300,472.08, 450,678.78 and 78,856.08

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Solution

The fourth proportional to 300,472.08, 450,678.78 and 78,856.08 is: 118,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,472.08 : 450,678.78 = 78,856.08 : x
  2. Step 2: Convert to fraction form
    300,472.08/450,678.78 = 78,856.08/x
  3. Step 3: Cross multiply
    300,472.08x = 450,678.78 × 78,856.08
  4. Step 4: Simplify right side
    300,472.08x = 35,538,761,929.98
  5. Step 5: Solve for x
    x = 35,538,761,929.98/300,472.08
  6. Step 6: Final answer
    x = 118,276.42

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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.