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Finding the Fourth Proportional to 924,816, 1,387,224 and 259,968

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Solution

The fourth proportional to 924,816, 1,387,224 and 259,968 is: 389,952

Step by Step Solution

  1. Step 1: Write the proportion equation
    924,816 : 1,387,224 = 259,968 : x
  2. Step 2: Convert to fraction form
    924,816/1,387,224 = 259,968/x
  3. Step 3: Cross multiply
    924,816x = 1,387,224 × 259,968
  4. Step 4: Simplify right side
    924,816x = 360,633,848,832
  5. Step 5: Solve for x
    x = 360,633,848,832/924,816
  6. Step 6: Final answer
    x = 389,952

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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.