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Finding the Fourth Proportional to 309,954, 464,931 and 76,482

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Solution

The fourth proportional to 309,954, 464,931 and 76,482 is: 114,723

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,954 : 464,931 = 76,482 : x
  2. Step 2: Convert to fraction form
    309,954/464,931 = 76,482/x
  3. Step 3: Cross multiply
    309,954x = 464,931 × 76,482
  4. Step 4: Simplify right side
    309,954x = 35,558,852,742
  5. Step 5: Solve for x
    x = 35,558,852,742/309,954
  6. Step 6: Final answer
    x = 114,723

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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.