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Finding the Fourth Proportional to 258,859.40, 388,344.54 and 146,592.68

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Solution

The fourth proportional to 258,859.40, 388,344.54 and 146,592.68 is: 219,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,859.40 : 388,344.54 = 146,592.68 : x
  2. Step 2: Convert to fraction form
    258,859.40/388,344.54 = 146,592.68/x
  3. Step 3: Cross multiply
    258,859.40x = 388,344.54 × 146,592.68
  4. Step 4: Simplify right side
    258,859.40x = 56,928,466,881.97
  5. Step 5: Solve for x
    x = 56,928,466,881.97/258,859.40
  6. Step 6: Final answer
    x = 219,920.42

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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.