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Finding the Fourth Proportional to 1,046,568, 1,570,086 and 381,720

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Solution

The fourth proportional to 1,046,568, 1,570,086 and 381,720 is: 572,665.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,046,568 : 1,570,086 = 381,720 : x
  2. Step 2: Convert to fraction form
    1,046,568/1,570,086 = 381,720/x
  3. Step 3: Cross multiply
    1,046,568x = 1,570,086 × 381,720
  4. Step 4: Simplify right side
    1,046,568x = 599,333,227,920
  5. Step 5: Solve for x
    x = 599,333,227,920/1,046,568
  6. Step 6: Final answer
    x = 572,665.35

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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.