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Finding the Fourth Proportional to 287,341.36, 396,505.68 and 166,444

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Solution

The fourth proportional to 287,341.36, 396,505.68 and 166,444 is: 229,678.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,341.36 : 396,505.68 = 166,444 : x
  2. Step 2: Convert to fraction form
    287,341.36/396,505.68 = 166,444/x
  3. Step 3: Cross multiply
    287,341.36x = 396,505.68 × 166,444
  4. Step 4: Simplify right side
    287,341.36x = 65,995,991,401.92
  5. Step 5: Solve for x
    x = 65,995,991,401.92/287,341.36
  6. Step 6: Final answer
    x = 229,678.01

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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.