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Finding the Fourth Proportional to 280,103.20, 419,804.40 and 139,900.96

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Solution

The fourth proportional to 280,103.20, 419,804.40 and 139,900.96 is: 209,676.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,103.20 : 419,804.40 = 139,900.96 : x
  2. Step 2: Convert to fraction form
    280,103.20/419,804.40 = 139,900.96/x
  3. Step 3: Cross multiply
    280,103.20x = 419,804.40 × 139,900.96
  4. Step 4: Simplify right side
    280,103.20x = 58,731,038,572.22
  5. Step 5: Solve for x
    x = 58,731,038,572.22/280,103.20
  6. Step 6: Final answer
    x = 209,676.43

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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.