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Finding the Fourth Proportional to 419,740.64, 578,974.39 and 343,370.60

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Solution

The fourth proportional to 419,740.64, 578,974.39 and 343,370.60 is: 473,632.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,740.64 : 578,974.39 = 343,370.60 : x
  2. Step 2: Convert to fraction form
    419,740.64/578,974.39 = 343,370.60/x
  3. Step 3: Cross multiply
    419,740.64x = 578,974.39 × 343,370.60
  4. Step 4: Simplify right side
    419,740.64x = 198,802,783,678.93
  5. Step 5: Solve for x
    x = 198,802,783,678.93/419,740.64
  6. Step 6: Final answer
    x = 473,632.44

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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.