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Finding the Fourth Proportional to 409,112.98, 564,285.09 and 273,078.34

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Solution

The fourth proportional to 409,112.98, 564,285.09 and 273,078.34 is: 376,653.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,112.98 : 564,285.09 = 273,078.34 : x
  2. Step 2: Convert to fraction form
    409,112.98/564,285.09 = 273,078.34/x
  3. Step 3: Cross multiply
    409,112.98x = 564,285.09 × 273,078.34
  4. Step 4: Simplify right side
    409,112.98x = 154,094,035,663.95
  5. Step 5: Solve for x
    x = 154,094,035,663.95/409,112.98
  6. Step 6: Final answer
    x = 376,653.99

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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.