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Finding the Fourth Proportional to 380,842.92, 525,543 and 219,688.44

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Solution

The fourth proportional to 380,842.92, 525,543 and 219,688.44 is: 303,158.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,842.92 : 525,543 = 219,688.44 : x
  2. Step 2: Convert to fraction form
    380,842.92/525,543 = 219,688.44/x
  3. Step 3: Cross multiply
    380,842.92x = 525,543 × 219,688.44
  4. Step 4: Simplify right side
    380,842.92x = 115,455,721,822.92
  5. Step 5: Solve for x
    x = 115,455,721,822.92/380,842.92
  6. Step 6: Final answer
    x = 303,158.38

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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.