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Finding the Fourth Proportional to 380,464.96, 525,040.62 and 219,319.12

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Solution

The fourth proportional to 380,464.96, 525,040.62 and 219,319.12 is: 302,659.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,464.96 : 525,040.62 = 219,319.12 : x
  2. Step 2: Convert to fraction form
    380,464.96/525,040.62 = 219,319.12/x
  3. Step 3: Cross multiply
    380,464.96x = 525,040.62 × 219,319.12
  4. Step 4: Simplify right side
    380,464.96x = 115,151,446,742.65
  5. Step 5: Solve for x
    x = 115,151,446,742.65/380,464.96
  6. Step 6: Final answer
    x = 302,659.79

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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.