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Finding the Fourth Proportional to 419,089.02, 578,342.91 and 228,103.80

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Solution

The fourth proportional to 419,089.02, 578,342.91 and 228,103.80 is: 314,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,089.02 : 578,342.91 = 228,103.80 : x
  2. Step 2: Convert to fraction form
    419,089.02/578,342.91 = 228,103.80/x
  3. Step 3: Cross multiply
    419,089.02x = 578,342.91 × 228,103.80
  4. Step 4: Simplify right side
    419,089.02x = 131,922,215,474.06
  5. Step 5: Solve for x
    x = 131,922,215,474.06/419,089.02
  6. Step 6: Final answer
    x = 314,783.28

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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.