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Finding the Fourth Proportional to 298,808, 448,288.80 and 101,816

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Solution

The fourth proportional to 298,808, 448,288.80 and 101,816 is: 152,750.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,808 : 448,288.80 = 101,816 : x
  2. Step 2: Convert to fraction form
    298,808/448,288.80 = 101,816/x
  3. Step 3: Cross multiply
    298,808x = 448,288.80 × 101,816
  4. Step 4: Simplify right side
    298,808x = 45,642,972,460.80
  5. Step 5: Solve for x
    x = 45,642,972,460.80/298,808
  6. Step 6: Final answer
    x = 152,750.17

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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.