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Finding the Fourth Proportional to 307,714.77, 424,667.79 and 171,775.26

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Solution

The fourth proportional to 307,714.77, 424,667.79 and 171,775.26 is: 237,061.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,714.77 : 424,667.79 = 171,775.26 : x
  2. Step 2: Convert to fraction form
    307,714.77/424,667.79 = 171,775.26/x
  3. Step 3: Cross multiply
    307,714.77x = 424,667.79 × 171,775.26
  4. Step 4: Simplify right side
    307,714.77x = 72,947,420,040.88
  5. Step 5: Solve for x
    x = 72,947,420,040.88/307,714.77
  6. Step 6: Final answer
    x = 237,061.81

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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.