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Finding the Fourth Proportional to 380,205.94, 524,801.12 and 219,168.63

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Solution

The fourth proportional to 380,205.94, 524,801.12 and 219,168.63 is: 302,520.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,205.94 : 524,801.12 = 219,168.63 : x
  2. Step 2: Convert to fraction form
    380,205.94/524,801.12 = 219,168.63/x
  3. Step 3: Cross multiply
    380,205.94x = 524,801.12 × 219,168.63
  4. Step 4: Simplify right side
    380,205.94x = 115,019,942,492.87
  5. Step 5: Solve for x
    x = 115,019,942,492.87/380,205.94
  6. Step 6: Final answer
    x = 302,520.11

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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.