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Finding the Fourth Proportional to 380,463.96, 525,039.24 and 219,318.12

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Solution

The fourth proportional to 380,463.96, 525,039.24 and 219,318.12 is: 302,658.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,463.96 : 525,039.24 = 219,318.12 : x
  2. Step 2: Convert to fraction form
    380,463.96/525,039.24 = 219,318.12/x
  3. Step 3: Cross multiply
    380,463.96x = 525,039.24 × 219,318.12
  4. Step 4: Simplify right side
    380,463.96x = 115,150,619,043.03
  5. Step 5: Solve for x
    x = 115,150,619,043.03/380,463.96
  6. Step 6: Final answer
    x = 302,658.41

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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.