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Finding the Fourth Proportional to 873,662.64, 1,310,809.36 and 305,127.44

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Solution

The fourth proportional to 873,662.64, 1,310,809.36 and 305,127.44 is: 457,801.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,662.64 : 1,310,809.36 = 305,127.44 : x
  2. Step 2: Convert to fraction form
    873,662.64/1,310,809.36 = 305,127.44/x
  3. Step 3: Cross multiply
    873,662.64x = 1,310,809.36 × 305,127.44
  4. Step 4: Simplify right side
    873,662.64x = 399,963,904,344.84
  5. Step 5: Solve for x
    x = 399,963,904,344.84/873,662.64
  6. Step 6: Final answer
    x = 457,801.31

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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.