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Finding the Fourth Proportional to 380,507.21, 525,098.63 and 219,361.49

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Solution

The fourth proportional to 380,507.21, 525,098.63 and 219,361.49 is: 302,718.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,507.21 : 525,098.63 = 219,361.49 : x
  2. Step 2: Convert to fraction form
    380,507.21/525,098.63 = 219,361.49/x
  3. Step 3: Cross multiply
    380,507.21x = 525,098.63 × 219,361.49
  4. Step 4: Simplify right side
    380,507.21x = 115,186,415,796.67
  5. Step 5: Solve for x
    x = 115,186,415,796.67/380,507.21
  6. Step 6: Final answer
    x = 302,718.09

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1.5x scale

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.