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Finding the Fourth Proportional to 380,211.84, 524,718 and 219,062.88

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Solution

The fourth proportional to 380,211.84, 524,718 and 219,062.88 is: 302,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,211.84 : 524,718 = 219,062.88 : x
  2. Step 2: Convert to fraction form
    380,211.84/524,718 = 219,062.88/x
  3. Step 3: Cross multiply
    380,211.84x = 524,718 × 219,062.88
  4. Step 4: Simplify right side
    380,211.84x = 114,946,236,267.84
  5. Step 5: Solve for x
    x = 114,946,236,267.84/380,211.84
  6. Step 6: Final answer
    x = 302,321.56

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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.