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Finding the Fourth Proportional to 501,664.30, 692,007.20 and 320,171.66

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Solution

The fourth proportional to 501,664.30, 692,007.20 and 320,171.66 is: 441,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,664.30 : 692,007.20 = 320,171.66 : x
  2. Step 2: Convert to fraction form
    501,664.30/692,007.20 = 320,171.66/x
  3. Step 3: Cross multiply
    501,664.30x = 692,007.20 × 320,171.66
  4. Step 4: Simplify right side
    501,664.30x = 221,561,094,637.00
  5. Step 5: Solve for x
    x = 221,561,094,637.00/501,664.30
  6. Step 6: Final answer
    x = 441,652.11

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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.