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Finding the Fourth Proportional to 609,770, 915,216.48 and 310,464.56

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Solution

The fourth proportional to 609,770, 915,216.48 and 310,464.56 is: 465,982.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,770 : 915,216.48 = 310,464.56 : x
  2. Step 2: Convert to fraction form
    609,770/915,216.48 = 310,464.56/x
  3. Step 3: Cross multiply
    609,770x = 915,216.48 × 310,464.56
  4. Step 4: Simplify right side
    609,770x = 284,142,281,767.95
  5. Step 5: Solve for x
    x = 284,142,281,767.95/609,770
  6. Step 6: Final answer
    x = 465,982.72

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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.