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Finding the Fourth Proportional to 296,155, 408,699.82 and 162,021.88

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Solution

The fourth proportional to 296,155, 408,699.82 and 162,021.88 is: 223,593.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,155 : 408,699.82 = 162,021.88 : x
  2. Step 2: Convert to fraction form
    296,155/408,699.82 = 162,021.88/x
  3. Step 3: Cross multiply
    296,155x = 408,699.82 × 162,021.88
  4. Step 4: Simplify right side
    296,155x = 66,218,313,192.06
  5. Step 5: Solve for x
    x = 66,218,313,192.06/296,155
  6. Step 6: Final answer
    x = 223,593.43

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1.5x scale

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.