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Finding the Fourth Proportional to 210,758.24, 315,786.36 and 148,297.52

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Solution

The fourth proportional to 210,758.24, 315,786.36 and 148,297.52 is: 222,199.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,758.24 : 315,786.36 = 148,297.52 : x
  2. Step 2: Convert to fraction form
    210,758.24/315,786.36 = 148,297.52/x
  3. Step 3: Cross multiply
    210,758.24x = 315,786.36 × 148,297.52
  4. Step 4: Simplify right side
    210,758.24x = 46,830,334,037.83
  5. Step 5: Solve for x
    x = 46,830,334,037.83/210,758.24
  6. Step 6: Final answer
    x = 222,199.30

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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.