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Finding the Fourth Proportional to 401,838.80, 603,449.40 and 284,334.80

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Solution

The fourth proportional to 401,838.80, 603,449.40 and 284,334.80 is: 426,991.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,838.80 : 603,449.40 = 284,334.80 : x
  2. Step 2: Convert to fraction form
    401,838.80/603,449.40 = 284,334.80/x
  3. Step 3: Cross multiply
    401,838.80x = 603,449.40 × 284,334.80
  4. Step 4: Simplify right side
    401,838.80x = 171,581,664,459.12
  5. Step 5: Solve for x
    x = 171,581,664,459.12/401,838.80
  6. Step 6: Final answer
    x = 426,991.28

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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.