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Finding the Fourth Proportional to 309,959.94, 464,939.91 and 122,971.44

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Solution

The fourth proportional to 309,959.94, 464,939.91 and 122,971.44 is: 184,457.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,959.94 : 464,939.91 = 122,971.44 : x
  2. Step 2: Convert to fraction form
    309,959.94/464,939.91 = 122,971.44/x
  3. Step 3: Cross multiply
    309,959.94x = 464,939.91 × 122,971.44
  4. Step 4: Simplify right side
    309,959.94x = 57,174,330,246.17
  5. Step 5: Solve for x
    x = 57,174,330,246.17/309,959.94
  6. Step 6: Final answer
    x = 184,457.16

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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.