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Finding the Fourth Proportional to 542,840.49, 813,430.38 and 290,156.94

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Solution

The fourth proportional to 542,840.49, 813,430.38 and 290,156.94 is: 434,791.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,840.49 : 813,430.38 = 290,156.94 : x
  2. Step 2: Convert to fraction form
    542,840.49/813,430.38 = 290,156.94/x
  3. Step 3: Cross multiply
    542,840.49x = 813,430.38 × 290,156.94
  4. Step 4: Simplify right side
    542,840.49x = 236,022,469,963.84
  5. Step 5: Solve for x
    x = 236,022,469,963.84/542,840.49
  6. Step 6: Final answer
    x = 434,791.57

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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.