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Finding the Fourth Proportional to 300,117.72, 414,289.98 and 186,996.36

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Solution

The fourth proportional to 300,117.72, 414,289.98 and 186,996.36 is: 258,134.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,117.72 : 414,289.98 = 186,996.36 : x
  2. Step 2: Convert to fraction form
    300,117.72/414,289.98 = 186,996.36/x
  3. Step 3: Cross multiply
    300,117.72x = 414,289.98 × 186,996.36
  4. Step 4: Simplify right side
    300,117.72x = 77,470,718,244.47
  5. Step 5: Solve for x
    x = 77,470,718,244.47/300,117.72
  6. Step 6: Final answer
    x = 258,134.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.