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Finding the Fourth Proportional to 380,994.83, 525,796.56 and 211,228.95

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Solution

The fourth proportional to 380,994.83, 525,796.56 and 211,228.95 is: 291,509.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,994.83 : 525,796.56 = 211,228.95 : x
  2. Step 2: Convert to fraction form
    380,994.83/525,796.56 = 211,228.95/x
  3. Step 3: Cross multiply
    380,994.83x = 525,796.56 × 211,228.95
  4. Step 4: Simplify right side
    380,994.83x = 111,063,455,282.41
  5. Step 5: Solve for x
    x = 111,063,455,282.41/380,994.83
  6. Step 6: Final answer
    x = 291,509.09

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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.