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Finding the Fourth Proportional to 380,770.47, 525,519.36 and 219,594.24

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Solution

The fourth proportional to 380,770.47, 525,519.36 and 219,594.24 is: 303,072.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,770.47 : 525,519.36 = 219,594.24 : x
  2. Step 2: Convert to fraction form
    380,770.47/525,519.36 = 219,594.24/x
  3. Step 3: Cross multiply
    380,770.47x = 525,519.36 × 219,594.24
  4. Step 4: Simplify right side
    380,770.47x = 115,401,024,464.49
  5. Step 5: Solve for x
    x = 115,401,024,464.49/380,770.47
  6. Step 6: Final answer
    x = 303,072.41

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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.