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Finding the Fourth Proportional to 296,137, 408,678.78 and 162,001

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Solution

The fourth proportional to 296,137, 408,678.78 and 162,001 is: 223,566.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,137 : 408,678.78 = 162,001 : x
  2. Step 2: Convert to fraction form
    296,137/408,678.78 = 162,001/x
  3. Step 3: Cross multiply
    296,137x = 408,678.78 × 162,001
  4. Step 4: Simplify right side
    296,137x = 66,206,371,038.78
  5. Step 5: Solve for x
    x = 66,206,371,038.78/296,137
  6. Step 6: Final answer
    x = 223,566.70

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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.