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Finding the Fourth Proportional to 258,972.80, 388,556.40 and 101,314.40

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Solution

The fourth proportional to 258,972.80, 388,556.40 and 101,314.40 is: 152,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,972.80 : 388,556.40 = 101,314.40 : x
  2. Step 2: Convert to fraction form
    258,972.80/388,556.40 = 101,314.40/x
  3. Step 3: Cross multiply
    258,972.80x = 388,556.40 × 101,314.40
  4. Step 4: Simplify right side
    258,972.80x = 39,366,358,532.16
  5. Step 5: Solve for x
    x = 39,366,358,532.16/258,972.80
  6. Step 6: Final answer
    x = 152,009.63

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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.