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Finding the Fourth Proportional to 299,293.43, 413,076.23 and 285,840.95

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Solution

The fourth proportional to 299,293.43, 413,076.23 and 285,840.95 is: 394,509.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,293.43 : 413,076.23 = 285,840.95 : x
  2. Step 2: Convert to fraction form
    299,293.43/413,076.23 = 285,840.95/x
  3. Step 3: Cross multiply
    299,293.43x = 413,076.23 × 285,840.95
  4. Step 4: Simplify right side
    299,293.43x = 118,074,102,710.42
  5. Step 5: Solve for x
    x = 118,074,102,710.42/299,293.43
  6. Step 6: Final answer
    x = 394,509.50

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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.