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Finding the Fourth Proportional to 307,424.86, 424,443.75 and 192,860.57

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Solution

The fourth proportional to 307,424.86, 424,443.75 and 192,860.57 is: 266,271.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,424.86 : 424,443.75 = 192,860.57 : x
  2. Step 2: Convert to fraction form
    307,424.86/424,443.75 = 192,860.57/x
  3. Step 3: Cross multiply
    307,424.86x = 424,443.75 × 192,860.57
  4. Step 4: Simplify right side
    307,424.86x = 81,858,463,557.94
  5. Step 5: Solve for x
    x = 81,858,463,557.94/307,424.86
  6. Step 6: Final answer
    x = 266,271.45

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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.