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Finding the Fourth Proportional to 363,400.80, 545,198.40 and 258,424.80

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Solution

The fourth proportional to 363,400.80, 545,198.40 and 258,424.80 is: 387,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,400.80 : 545,198.40 = 258,424.80 : x
  2. Step 2: Convert to fraction form
    363,400.80/545,198.40 = 258,424.80/x
  3. Step 3: Cross multiply
    363,400.80x = 545,198.40 × 258,424.80
  4. Step 4: Simplify right side
    363,400.80x = 140,892,787,480.32
  5. Step 5: Solve for x
    x = 140,892,787,480.32/363,400.80
  6. Step 6: Final answer
    x = 387,706.32

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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.