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Finding the Fourth Proportional to 414,000.40, 621,000.60 and 287,373.10

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Solution

The fourth proportional to 414,000.40, 621,000.60 and 287,373.10 is: 431,059.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,000.40 : 621,000.60 = 287,373.10 : x
  2. Step 2: Convert to fraction form
    414,000.40/621,000.60 = 287,373.10/x
  3. Step 3: Cross multiply
    414,000.40x = 621,000.60 × 287,373.10
  4. Step 4: Simplify right side
    414,000.40x = 178,458,867,523.86
  5. Step 5: Solve for x
    x = 178,458,867,523.86/414,000.40
  6. Step 6: Final answer
    x = 431,059.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.