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Finding the Fourth Proportional to 729,000, 1,006,020 and 427,194

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Solution

The fourth proportional to 729,000, 1,006,020 and 427,194 is: 589,527.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    729,000 : 1,006,020 = 427,194 : x
  2. Step 2: Convert to fraction form
    729,000/1,006,020 = 427,194/x
  3. Step 3: Cross multiply
    729,000x = 1,006,020 × 427,194
  4. Step 4: Simplify right side
    729,000x = 429,765,707,880
  5. Step 5: Solve for x
    x = 429,765,707,880/729,000
  6. Step 6: Final answer
    x = 589,527.72

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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.