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Finding the Fourth Proportional to 380,551, 525,160.38 and 210,796.06

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Solution

The fourth proportional to 380,551, 525,160.38 and 210,796.06 is: 290,898.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,551 : 525,160.38 = 210,796.06 : x
  2. Step 2: Convert to fraction form
    380,551/525,160.38 = 210,796.06/x
  3. Step 3: Cross multiply
    380,551x = 525,160.38 × 210,796.06
  4. Step 4: Simplify right side
    380,551x = 110,701,738,972.10
  5. Step 5: Solve for x
    x = 110,701,738,972.10/380,551
  6. Step 6: Final answer
    x = 290,898.56

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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.