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Finding the Fourth Proportional to 946,817, 1,420,471.74 and 281,969

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Solution

The fourth proportional to 946,817, 1,420,471.74 and 281,969 is: 423,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,817 : 1,420,471.74 = 281,969 : x
  2. Step 2: Convert to fraction form
    946,817/1,420,471.74 = 281,969/x
  3. Step 3: Cross multiply
    946,817x = 1,420,471.74 × 281,969
  4. Step 4: Simplify right side
    946,817x = 400,528,996,056.06
  5. Step 5: Solve for x
    x = 400,528,996,056.06/946,817
  6. Step 6: Final answer
    x = 423,026.83

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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.