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Finding the Fourth Proportional to 381,861, 572,647.44 and 306,796.68

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Solution

The fourth proportional to 381,861, 572,647.44 and 306,796.68 is: 460,079.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,861 : 572,647.44 = 306,796.68 : x
  2. Step 2: Convert to fraction form
    381,861/572,647.44 = 306,796.68/x
  3. Step 3: Cross multiply
    381,861x = 572,647.44 × 306,796.68
  4. Step 4: Simplify right side
    381,861x = 175,686,333,402.50
  5. Step 5: Solve for x
    x = 175,686,333,402.50/381,861
  6. Step 6: Final answer
    x = 460,079.28

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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.