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Finding the Fourth Proportional to 307,851.06, 424,830.30 and 171,887.10

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Solution

The fourth proportional to 307,851.06, 424,830.30 and 171,887.10 is: 237,201.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,851.06 : 424,830.30 = 171,887.10 : x
  2. Step 2: Convert to fraction form
    307,851.06/424,830.30 = 171,887.10/x
  3. Step 3: Cross multiply
    307,851.06x = 424,830.30 × 171,887.10
  4. Step 4: Simplify right side
    307,851.06x = 73,022,848,259.13
  5. Step 5: Solve for x
    x = 73,022,848,259.13/307,851.06
  6. Step 6: Final answer
    x = 237,201.87

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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.