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Finding the Fourth Proportional to 307,381.86, 424,188.81 and 171,424.40

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Solution

The fourth proportional to 307,381.86, 424,188.81 and 171,424.40 is: 236,566.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,381.86 : 424,188.81 = 171,424.40 : x
  2. Step 2: Convert to fraction form
    307,381.86/424,188.81 = 171,424.40/x
  3. Step 3: Cross multiply
    307,381.86x = 424,188.81 × 171,424.40
  4. Step 4: Simplify right side
    307,381.86x = 72,716,310,120.02
  5. Step 5: Solve for x
    x = 72,716,310,120.02/307,381.86
  6. Step 6: Final answer
    x = 236,566.69

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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.