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Finding the Fourth Proportional to 405,870.09, 609,015.21 and 294,469.78

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Solution

The fourth proportional to 405,870.09, 609,015.21 and 294,469.78 is: 441,857.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,870.09 : 609,015.21 = 294,469.78 : x
  2. Step 2: Convert to fraction form
    405,870.09/609,015.21 = 294,469.78/x
  3. Step 3: Cross multiply
    405,870.09x = 609,015.21 × 294,469.78
  4. Step 4: Simplify right side
    405,870.09x = 179,336,573,420.46
  5. Step 5: Solve for x
    x = 179,336,573,420.46/405,870.09
  6. Step 6: Final answer
    x = 441,857.08

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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.