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Finding the Fourth Proportional to 407,922.21, 560,936.21 and 354,113.10

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Solution

The fourth proportional to 407,922.21, 560,936.21 and 354,113.10 is: 486,942.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,922.21 : 560,936.21 = 354,113.10 : x
  2. Step 2: Convert to fraction form
    407,922.21/560,936.21 = 354,113.10/x
  3. Step 3: Cross multiply
    407,922.21x = 560,936.21 × 354,113.10
  4. Step 4: Simplify right side
    407,922.21x = 198,634,858,454.79
  5. Step 5: Solve for x
    x = 198,634,858,454.79/407,922.21
  6. Step 6: Final answer
    x = 486,942.98

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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.