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Finding the Fourth Proportional to 280,506.36, 420,745.20 and 102,999.72

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Solution

The fourth proportional to 280,506.36, 420,745.20 and 102,999.72 is: 154,494.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,506.36 : 420,745.20 = 102,999.72 : x
  2. Step 2: Convert to fraction form
    280,506.36/420,745.20 = 102,999.72/x
  3. Step 3: Cross multiply
    280,506.36x = 420,745.20 × 102,999.72
  4. Step 4: Simplify right side
    280,506.36x = 43,336,637,791.34
  5. Step 5: Solve for x
    x = 43,336,637,791.34/280,506.36
  6. Step 6: Final answer
    x = 154,494.31

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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.