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Finding the Fourth Proportional to 469,138.63, 704,682.78 and 379,282.90

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Solution

The fourth proportional to 469,138.63, 704,682.78 and 379,282.90 is: 569,712.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,138.63 : 704,682.78 = 379,282.90 : x
  2. Step 2: Convert to fraction form
    469,138.63/704,682.78 = 379,282.90/x
  3. Step 3: Cross multiply
    469,138.63x = 704,682.78 × 379,282.90
  4. Step 4: Simplify right side
    469,138.63x = 267,274,128,378.46
  5. Step 5: Solve for x
    x = 267,274,128,378.46/469,138.63
  6. Step 6: Final answer
    x = 569,712.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.