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Finding the Fourth Proportional to 501,664.80, 692,007.89 and 320,172.16

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Solution

The fourth proportional to 501,664.80, 692,007.89 and 320,172.16 is: 441,652.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,664.80 : 692,007.89 = 320,172.16 : x
  2. Step 2: Convert to fraction form
    501,664.80/692,007.89 = 320,172.16/x
  3. Step 3: Cross multiply
    501,664.80x = 692,007.89 × 320,172.16
  4. Step 4: Simplify right side
    501,664.80x = 221,561,660,878.34
  5. Step 5: Solve for x
    x = 221,561,660,878.34/501,664.80
  6. Step 6: Final answer
    x = 441,652.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.