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Finding the Fourth Proportional to 431,820.45, 596,205.77 and 279,227.79

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Solution

The fourth proportional to 431,820.45, 596,205.77 and 279,227.79 is: 385,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,820.45 : 596,205.77 = 279,227.79 : x
  2. Step 2: Convert to fraction form
    431,820.45/596,205.77 = 279,227.79/x
  3. Step 3: Cross multiply
    431,820.45x = 596,205.77 × 279,227.79
  4. Step 4: Simplify right side
    431,820.45x = 166,477,218,146.21
  5. Step 5: Solve for x
    x = 166,477,218,146.21/431,820.45
  6. Step 6: Final answer
    x = 385,524.16

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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.