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Finding the Fourth Proportional to 309,797.40, 464,302.41 and 169,392

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Solution

The fourth proportional to 309,797.40, 464,302.41 and 169,392 is: 253,872.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,797.40 : 464,302.41 = 169,392 : x
  2. Step 2: Convert to fraction form
    309,797.40/464,302.41 = 169,392/x
  3. Step 3: Cross multiply
    309,797.40x = 464,302.41 × 169,392
  4. Step 4: Simplify right side
    309,797.40x = 78,649,113,834.72
  5. Step 5: Solve for x
    x = 78,649,113,834.72/309,797.40
  6. Step 6: Final answer
    x = 253,872.74

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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.