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Finding the Fourth Proportional to 307,285.50, 424,055.82 and 171,328.02

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Solution

The fourth proportional to 307,285.50, 424,055.82 and 171,328.02 is: 236,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,285.50 : 424,055.82 = 171,328.02 : x
  2. Step 2: Convert to fraction form
    307,285.50/424,055.82 = 171,328.02/x
  3. Step 3: Cross multiply
    307,285.50x = 424,055.82 × 171,328.02
  4. Step 4: Simplify right side
    307,285.50x = 72,652,644,010.08
  5. Step 5: Solve for x
    x = 72,652,644,010.08/307,285.50
  6. Step 6: Final answer
    x = 236,433.69

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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.