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Finding the Fourth Proportional to 259,044.75, 388,622.70 and 146,778.75

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Solution

The fourth proportional to 259,044.75, 388,622.70 and 146,778.75 is: 220,199.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,044.75 : 388,622.70 = 146,778.75 : x
  2. Step 2: Convert to fraction form
    259,044.75/388,622.70 = 146,778.75/x
  3. Step 3: Cross multiply
    259,044.75x = 388,622.70 × 146,778.75
  4. Step 4: Simplify right side
    259,044.75x = 57,041,554,127.63
  5. Step 5: Solve for x
    x = 57,041,554,127.63/259,044.75
  6. Step 6: Final answer
    x = 220,199.61

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1.5x scale

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.