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Finding the Fourth Proportional to 455,799.97, 683,261.74 and 306,082

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Solution

The fourth proportional to 455,799.97, 683,261.74 and 306,082 is: 458,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,799.97 : 683,261.74 = 306,082 : x
  2. Step 2: Convert to fraction form
    455,799.97/683,261.74 = 306,082/x
  3. Step 3: Cross multiply
    455,799.97x = 683,261.74 × 306,082
  4. Step 4: Simplify right side
    455,799.97x = 209,134,119,902.68
  5. Step 5: Solve for x
    x = 209,134,119,902.68/455,799.97
  6. Step 6: Final answer
    x = 458,828.73

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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.