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Finding the Fourth Proportional to 547,309.86, 820,406.25 and 310,151.58

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Solution

The fourth proportional to 547,309.86, 820,406.25 and 310,151.58 is: 464,910.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,309.86 : 820,406.25 = 310,151.58 : x
  2. Step 2: Convert to fraction form
    547,309.86/820,406.25 = 310,151.58/x
  3. Step 3: Cross multiply
    547,309.86x = 820,406.25 × 310,151.58
  4. Step 4: Simplify right side
    547,309.86x = 254,450,294,679.38
  5. Step 5: Solve for x
    x = 254,450,294,679.38/547,309.86
  6. Step 6: Final answer
    x = 464,910.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.