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Finding the Fourth Proportional to 378,480.42, 522,328.78 and 219,504.42

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Solution

The fourth proportional to 378,480.42, 522,328.78 and 219,504.42 is: 302,931.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,480.42 : 522,328.78 = 219,504.42 : x
  2. Step 2: Convert to fraction form
    378,480.42/522,328.78 = 219,504.42/x
  3. Step 3: Cross multiply
    378,480.42x = 522,328.78 × 219,504.42
  4. Step 4: Simplify right side
    378,480.42x = 114,653,475,903.21
  5. Step 5: Solve for x
    x = 114,653,475,903.21/378,480.42
  6. Step 6: Final answer
    x = 302,931.06

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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.