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Finding the Fourth Proportional to 380,541, 525,146.58 and 210,786.06

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Solution

The fourth proportional to 380,541, 525,146.58 and 210,786.06 is: 290,884.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,541 : 525,146.58 = 210,786.06 : x
  2. Step 2: Convert to fraction form
    380,541/525,146.58 = 210,786.06/x
  3. Step 3: Cross multiply
    380,541x = 525,146.58 × 210,786.06
  4. Step 4: Simplify right side
    380,541x = 110,693,578,520.68
  5. Step 5: Solve for x
    x = 110,693,578,520.68/380,541
  6. Step 6: Final answer
    x = 290,884.76

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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.