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Finding the Fourth Proportional to 548,411.86, 756,846.94 and 306,716.93

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Solution

The fourth proportional to 548,411.86, 756,846.94 and 306,716.93 is: 423,290.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,411.86 : 756,846.94 = 306,716.93 : x
  2. Step 2: Convert to fraction form
    548,411.86/756,846.94 = 306,716.93/x
  3. Step 3: Cross multiply
    548,411.86x = 756,846.94 × 306,716.93
  4. Step 4: Simplify right side
    548,411.86x = 232,137,769,916.69
  5. Step 5: Solve for x
    x = 232,137,769,916.69/548,411.86
  6. Step 6: Final answer
    x = 423,290.94

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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.