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Finding the Fourth Proportional to 419,735.04, 579,217.44 and 228,744.32

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Solution

The fourth proportional to 419,735.04, 579,217.44 and 228,744.32 is: 315,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,735.04 : 579,217.44 = 228,744.32 : x
  2. Step 2: Convert to fraction form
    419,735.04/579,217.44 = 228,744.32/x
  3. Step 3: Cross multiply
    419,735.04x = 579,217.44 × 228,744.32
  4. Step 4: Simplify right side
    419,735.04x = 132,492,699,444.94
  5. Step 5: Solve for x
    x = 132,492,699,444.94/419,735.04
  6. Step 6: Final answer
    x = 315,657.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.