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Finding the Fourth Proportional to 419,242.88, 578,536.12 and 228,255.92

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Solution

The fourth proportional to 419,242.88, 578,536.12 and 228,255.92 is: 314,982.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,242.88 : 578,536.12 = 228,255.92 : x
  2. Step 2: Convert to fraction form
    419,242.88/578,536.12 = 228,255.92/x
  3. Step 3: Cross multiply
    419,242.88x = 578,536.12 × 228,255.92
  4. Step 4: Simplify right side
    419,242.88x = 132,054,294,323.83
  5. Step 5: Solve for x
    x = 132,054,294,323.83/419,242.88
  6. Step 6: Final answer
    x = 314,982.80

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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.