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Finding the Fourth Proportional to 401,823.60, 601,698.60 and 318,879.60

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Solution

The fourth proportional to 401,823.60, 601,698.60 and 318,879.60 is: 477,496.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,823.60 : 601,698.60 = 318,879.60 : x
  2. Step 2: Convert to fraction form
    401,823.60/601,698.60 = 318,879.60/x
  3. Step 3: Cross multiply
    401,823.60x = 601,698.60 × 318,879.60
  4. Step 4: Simplify right side
    401,823.60x = 191,869,408,888.56
  5. Step 5: Solve for x
    x = 191,869,408,888.56/401,823.60
  6. Step 6: Final answer
    x = 477,496.62

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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.