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Finding the Fourth Proportional to 380,554, 525,164.52 and 210,799.12

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Solution

The fourth proportional to 380,554, 525,164.52 and 210,799.12 is: 290,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,554 : 525,164.52 = 210,799.12 : x
  2. Step 2: Convert to fraction form
    380,554/525,164.52 = 210,799.12/x
  3. Step 3: Cross multiply
    380,554x = 525,164.52 × 210,799.12
  4. Step 4: Simplify right side
    380,554x = 110,704,218,671.22
  5. Step 5: Solve for x
    x = 110,704,218,671.22/380,554
  6. Step 6: Final answer
    x = 290,902.79

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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.