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Finding the Fourth Proportional to 258,639.84, 356,922.90 and 145,462.50

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Solution

The fourth proportional to 258,639.84, 356,922.90 and 145,462.50 is: 200,738.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,639.84 : 356,922.90 = 145,462.50 : x
  2. Step 2: Convert to fraction form
    258,639.84/356,922.90 = 145,462.50/x
  3. Step 3: Cross multiply
    258,639.84x = 356,922.90 × 145,462.50
  4. Step 4: Simplify right side
    258,639.84x = 51,918,897,341.25
  5. Step 5: Solve for x
    x = 51,918,897,341.25/258,639.84
  6. Step 6: Final answer
    x = 200,738.21

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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.