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Finding the Fourth Proportional to 380,501.76, 525,047.36 and 219,409.76

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Solution

The fourth proportional to 380,501.76, 525,047.36 and 219,409.76 is: 302,759.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,501.76 : 525,047.36 = 219,409.76 : x
  2. Step 2: Convert to fraction form
    380,501.76/525,047.36 = 219,409.76/x
  3. Step 3: Cross multiply
    380,501.76x = 525,047.36 × 219,409.76
  4. Step 4: Simplify right side
    380,501.76x = 115,200,515,246.23
  5. Step 5: Solve for x
    x = 115,200,515,246.23/380,501.76
  6. Step 6: Final answer
    x = 302,759.48

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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.