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Finding the Fourth Proportional to 289,418.47, 399,409.79 and 168,540.28

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Solution

The fourth proportional to 289,418.47, 399,409.79 and 168,540.28 is: 232,592.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,418.47 : 399,409.79 = 168,540.28 : x
  2. Step 2: Convert to fraction form
    289,418.47/399,409.79 = 168,540.28/x
  3. Step 3: Cross multiply
    289,418.47x = 399,409.79 × 168,540.28
  4. Step 4: Simplify right side
    289,418.47x = 67,316,636,000.12
  5. Step 5: Solve for x
    x = 67,316,636,000.12/289,418.47
  6. Step 6: Final answer
    x = 232,592.75

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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.