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Finding the Fourth Proportional to 280,705.26, 420,303.38 and 213,826.80

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Solution

The fourth proportional to 280,705.26, 420,303.38 and 213,826.80 is: 320,165.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,705.26 : 420,303.38 = 213,826.80 : x
  2. Step 2: Convert to fraction form
    280,705.26/420,303.38 = 213,826.80/x
  3. Step 3: Cross multiply
    280,705.26x = 420,303.38 × 213,826.80
  4. Step 4: Simplify right side
    280,705.26x = 89,872,128,484.36
  5. Step 5: Solve for x
    x = 89,872,128,484.36/280,705.26
  6. Step 6: Final answer
    x = 320,165.45

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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.