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Finding the Fourth Proportional to 259,009, 388,569.08 and 146,743

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Solution

The fourth proportional to 259,009, 388,569.08 and 146,743 is: 220,145.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,009 : 388,569.08 = 146,743 : x
  2. Step 2: Convert to fraction form
    259,009/388,569.08 = 146,743/x
  3. Step 3: Cross multiply
    259,009x = 388,569.08 × 146,743
  4. Step 4: Simplify right side
    259,009x = 57,019,792,506.44
  5. Step 5: Solve for x
    x = 57,019,792,506.44/259,009
  6. Step 6: Final answer
    x = 220,145.99

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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.