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Finding the Fourth Proportional to 547,869, 821,803.50 and 148,509.77

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Solution

The fourth proportional to 547,869, 821,803.50 and 148,509.77 is: 222,764.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,869 : 821,803.50 = 148,509.77 : x
  2. Step 2: Convert to fraction form
    547,869/821,803.50 = 148,509.77/x
  3. Step 3: Cross multiply
    547,869x = 821,803.50 × 148,509.77
  4. Step 4: Simplify right side
    547,869x = 122,045,850,824.70
  5. Step 5: Solve for x
    x = 122,045,850,824.70/547,869
  6. Step 6: Final answer
    x = 222,764.66

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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.