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Finding the Fourth Proportional to 286,459.93, 428,877.93 and 238,039.75

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Solution

The fourth proportional to 286,459.93, 428,877.93 and 238,039.75 is: 356,384.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,459.93 : 428,877.93 = 238,039.75 : x
  2. Step 2: Convert to fraction form
    286,459.93/428,877.93 = 238,039.75/x
  3. Step 3: Cross multiply
    286,459.93x = 428,877.93 × 238,039.75
  4. Step 4: Simplify right side
    286,459.93x = 102,089,993,093.33
  5. Step 5: Solve for x
    x = 102,089,993,093.33/286,459.93
  6. Step 6: Final answer
    x = 356,384.90

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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.