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Finding the Fourth Proportional to 412,017, 618,029.36 and 145,822.65

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Solution

The fourth proportional to 412,017, 618,029.36 and 145,822.65 is: 218,735.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,017 : 618,029.36 = 145,822.65 : x
  2. Step 2: Convert to fraction form
    412,017/618,029.36 = 145,822.65/x
  3. Step 3: Cross multiply
    412,017x = 618,029.36 × 145,822.65
  4. Step 4: Simplify right side
    412,017x = 90,122,678,323.89
  5. Step 5: Solve for x
    x = 90,122,678,323.89/412,017
  6. Step 6: Final answer
    x = 218,735.34

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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.