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Finding the Fourth Proportional to 464,138.30, 640,462.74 and 273,140.30

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Solution

The fourth proportional to 464,138.30, 640,462.74 and 273,140.30 is: 376,905.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,138.30 : 640,462.74 = 273,140.30 : x
  2. Step 2: Convert to fraction form
    464,138.30/640,462.74 = 273,140.30/x
  3. Step 3: Cross multiply
    464,138.30x = 640,462.74 × 273,140.30
  4. Step 4: Simplify right side
    464,138.30x = 174,936,184,942.42
  5. Step 5: Solve for x
    x = 174,936,184,942.42/464,138.30
  6. Step 6: Final answer
    x = 376,905.30

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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.