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Finding the Fourth Proportional to 538,812.30, 808,189.15 and 164,835.30

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Solution

The fourth proportional to 538,812.30, 808,189.15 and 164,835.30 is: 247,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,812.30 : 808,189.15 = 164,835.30 : x
  2. Step 2: Convert to fraction form
    538,812.30/808,189.15 = 164,835.30/x
  3. Step 3: Cross multiply
    538,812.30x = 808,189.15 × 164,835.30
  4. Step 4: Simplify right side
    538,812.30x = 133,218,100,997.00
  5. Step 5: Solve for x
    x = 133,218,100,997.00/538,812.30
  6. Step 6: Final answer
    x = 247,243.99

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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.