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Finding the Fourth Proportional to 419,051.21, 578,290.67 and 228,065.96

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Solution

The fourth proportional to 419,051.21, 578,290.67 and 228,065.96 is: 314,731.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,051.21 : 578,290.67 = 228,065.96 : x
  2. Step 2: Convert to fraction form
    419,051.21/578,290.67 = 228,065.96/x
  3. Step 3: Cross multiply
    419,051.21x = 578,290.67 × 228,065.96
  4. Step 4: Simplify right side
    419,051.21x = 131,888,412,780.81
  5. Step 5: Solve for x
    x = 131,888,412,780.81/419,051.21
  6. Step 6: Final answer
    x = 314,731.02

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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.