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Finding the Fourth Proportional to 258,039.57, 386,862.39 and 145,846.47

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Solution

The fourth proportional to 258,039.57, 386,862.39 and 145,846.47 is: 218,658.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,039.57 : 386,862.39 = 145,846.47 : x
  2. Step 2: Convert to fraction form
    258,039.57/386,862.39 = 145,846.47/x
  3. Step 3: Cross multiply
    258,039.57x = 386,862.39 × 145,846.47
  4. Step 4: Simplify right side
    258,039.57x = 56,422,513,957.26
  5. Step 5: Solve for x
    x = 56,422,513,957.26/258,039.57
  6. Step 6: Final answer
    x = 218,658.38

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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.