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Finding the Fourth Proportional to 347,919.75, 480,129.26 and 197,045.91

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Solution

The fourth proportional to 347,919.75, 480,129.26 and 197,045.91 is: 271,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,919.75 : 480,129.26 = 197,045.91 : x
  2. Step 2: Convert to fraction form
    347,919.75/480,129.26 = 197,045.91/x
  3. Step 3: Cross multiply
    347,919.75x = 480,129.26 × 197,045.91
  4. Step 4: Simplify right side
    347,919.75x = 94,607,505,969.10
  5. Step 5: Solve for x
    x = 94,607,505,969.10/347,919.75
  6. Step 6: Final answer
    x = 271,923.36

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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.