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Finding the Fourth Proportional to 289,148.49, 399,054.74 and 166,645.17

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Solution

The fourth proportional to 289,148.49, 399,054.74 and 166,645.17 is: 229,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,148.49 : 399,054.74 = 166,645.17 : x
  2. Step 2: Convert to fraction form
    289,148.49/399,054.74 = 166,645.17/x
  3. Step 3: Cross multiply
    289,148.49x = 399,054.74 × 166,645.17
  4. Step 4: Simplify right side
    289,148.49x = 66,500,544,153.38
  5. Step 5: Solve for x
    x = 66,500,544,153.38/289,148.49
  6. Step 6: Final answer
    x = 229,987.52

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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.