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Finding the Fourth Proportional to 278,028.40, 383,679.84 and 150,703.44

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Solution

The fourth proportional to 278,028.40, 383,679.84 and 150,703.44 is: 207,971.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,028.40 : 383,679.84 = 150,703.44 : x
  2. Step 2: Convert to fraction form
    278,028.40/383,679.84 = 150,703.44/x
  3. Step 3: Cross multiply
    278,028.40x = 383,679.84 × 150,703.44
  4. Step 4: Simplify right side
    278,028.40x = 57,821,871,746.65
  5. Step 5: Solve for x
    x = 57,821,871,746.65/278,028.40
  6. Step 6: Final answer
    x = 207,971.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.