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Finding the Fourth Proportional to 320,018.34, 441,713.28 and 199,087.50

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Solution

The fourth proportional to 320,018.34, 441,713.28 and 199,087.50 is: 274,795.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,018.34 : 441,713.28 = 199,087.50 : x
  2. Step 2: Convert to fraction form
    320,018.34/441,713.28 = 199,087.50/x
  3. Step 3: Cross multiply
    320,018.34x = 441,713.28 × 199,087.50
  4. Step 4: Simplify right side
    320,018.34x = 87,939,592,632
  5. Step 5: Solve for x
    x = 87,939,592,632/320,018.34
  6. Step 6: Final answer
    x = 274,795.48

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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.