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Finding the Fourth Proportional to 279,678.06, 419,143.41 and 102,018.06

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Solution

The fourth proportional to 279,678.06, 419,143.41 and 102,018.06 is: 152,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,678.06 : 419,143.41 = 102,018.06 : x
  2. Step 2: Convert to fraction form
    279,678.06/419,143.41 = 102,018.06/x
  3. Step 3: Cross multiply
    279,678.06x = 419,143.41 × 102,018.06
  4. Step 4: Simplify right side
    279,678.06x = 42,760,197,549.98
  5. Step 5: Solve for x
    x = 42,760,197,549.98/279,678.06
  6. Step 6: Final answer
    x = 152,890.78

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1.5x scale

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.