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Finding the Fourth Proportional to 547,698.15, 821,538.31 and 210,811.98

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Solution

The fourth proportional to 547,698.15, 821,538.31 and 210,811.98 is: 316,214.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,698.15 : 821,538.31 = 210,811.98 : x
  2. Step 2: Convert to fraction form
    547,698.15/821,538.31 = 210,811.98/x
  3. Step 3: Cross multiply
    547,698.15x = 821,538.31 × 210,811.98
  4. Step 4: Simplify right side
    547,698.15x = 173,190,117,776.95
  5. Step 5: Solve for x
    x = 173,190,117,776.95/547,698.15
  6. Step 6: Final answer
    x = 316,214.54

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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.