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Finding the Fourth Proportional to 380,406.78, 525,109.64 and 219,399.84

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Solution

The fourth proportional to 380,406.78, 525,109.64 and 219,399.84 is: 302,857.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,406.78 : 525,109.64 = 219,399.84 : x
  2. Step 2: Convert to fraction form
    380,406.78/525,109.64 = 219,399.84/x
  3. Step 3: Cross multiply
    380,406.78x = 525,109.64 × 219,399.84
  4. Step 4: Simplify right side
    380,406.78x = 115,208,969,901.46
  5. Step 5: Solve for x
    x = 115,208,969,901.46/380,406.78
  6. Step 6: Final answer
    x = 302,857.30

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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.