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Finding the Fourth Proportional to 289,038.09, 398,839.29 and 166,548.33

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Solution

The fourth proportional to 289,038.09, 398,839.29 and 166,548.33 is: 229,817.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,038.09 : 398,839.29 = 166,548.33 : x
  2. Step 2: Convert to fraction form
    289,038.09/398,839.29 = 166,548.33/x
  3. Step 3: Cross multiply
    289,038.09x = 398,839.29 × 166,548.33
  4. Step 4: Simplify right side
    289,038.09x = 66,426,017,687.89
  5. Step 5: Solve for x
    x = 66,426,017,687.89/289,038.09
  6. Step 6: Final answer
    x = 229,817.52

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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.