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Finding the Fourth Proportional to 405,879.22, 609,028.80 and 294,478.91

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Solution

The fourth proportional to 405,879.22, 609,028.80 and 294,478.91 is: 441,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,879.22 : 609,028.80 = 294,478.91 : x
  2. Step 2: Convert to fraction form
    405,879.22/609,028.80 = 294,478.91/x
  3. Step 3: Cross multiply
    405,879.22x = 609,028.80 × 294,478.91
  4. Step 4: Simplify right side
    405,879.22x = 179,346,134,137.46
  5. Step 5: Solve for x
    x = 179,346,134,137.46/405,879.22
  6. Step 6: Final answer
    x = 441,870.70

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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.