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Finding the Fourth Proportional to 400,755.84, 600,908.58 and 274,538.40

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Solution

The fourth proportional to 400,755.84, 600,908.58 and 274,538.40 is: 411,653.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,755.84 : 600,908.58 = 274,538.40 : x
  2. Step 2: Convert to fraction form
    400,755.84/600,908.58 = 274,538.40/x
  3. Step 3: Cross multiply
    400,755.84x = 600,908.58 × 274,538.40
  4. Step 4: Simplify right side
    400,755.84x = 164,972,480,099.47
  5. Step 5: Solve for x
    x = 164,972,480,099.47/400,755.84
  6. Step 6: Final answer
    x = 411,653.34

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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.