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Finding the Fourth Proportional to 342,409.88, 512,883.30 and 278,078.08

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Solution

The fourth proportional to 342,409.88, 512,883.30 and 278,078.08 is: 416,523.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,409.88 : 512,883.30 = 278,078.08 : x
  2. Step 2: Convert to fraction form
    342,409.88/512,883.30 = 278,078.08/x
  3. Step 3: Cross multiply
    342,409.88x = 512,883.30 × 278,078.08
  4. Step 4: Simplify right side
    342,409.88x = 142,621,603,328.06
  5. Step 5: Solve for x
    x = 142,621,603,328.06/342,409.88
  6. Step 6: Final answer
    x = 416,523.04

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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.