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Finding the Fourth Proportional to 300,585.70, 450,678.48 and 180,371.98

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Solution

The fourth proportional to 300,585.70, 450,678.48 and 180,371.98 is: 270,437.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,585.70 : 450,678.48 = 180,371.98 : x
  2. Step 2: Convert to fraction form
    300,585.70/450,678.48 = 180,371.98/x
  3. Step 3: Cross multiply
    300,585.70x = 450,678.48 × 180,371.98
  4. Step 4: Simplify right side
    300,585.70x = 81,289,769,780.99
  5. Step 5: Solve for x
    x = 81,289,769,780.99/300,585.70
  6. Step 6: Final answer
    x = 270,437.91

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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.