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Finding the Fourth Proportional to 280,018.36, 386,499 and 159,230.44

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Solution

The fourth proportional to 280,018.36, 386,499 and 159,230.44 is: 219,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,018.36 : 386,499 = 159,230.44 : x
  2. Step 2: Convert to fraction form
    280,018.36/386,499 = 159,230.44/x
  3. Step 3: Cross multiply
    280,018.36x = 386,499 × 159,230.44
  4. Step 4: Simplify right side
    280,018.36x = 61,542,405,829.56
  5. Step 5: Solve for x
    x = 61,542,405,829.56/280,018.36
  6. Step 6: Final answer
    x = 219,779.90

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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.