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Finding the Fourth Proportional to 425,410.40, 638,072.40 and 144,923.60

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Solution

The fourth proportional to 425,410.40, 638,072.40 and 144,923.60 is: 217,370.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,410.40 : 638,072.40 = 144,923.60 : x
  2. Step 2: Convert to fraction form
    425,410.40/638,072.40 = 144,923.60/x
  3. Step 3: Cross multiply
    425,410.40x = 638,072.40 × 144,923.60
  4. Step 4: Simplify right side
    425,410.40x = 92,471,749,268.64
  5. Step 5: Solve for x
    x = 92,471,749,268.64/425,410.40
  6. Step 6: Final answer
    x = 217,370.68

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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.