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Finding the Fourth Proportional to 318,553.12, 478,051 and 205,954.06

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Solution

The fourth proportional to 318,553.12, 478,051 and 205,954.06 is: 309,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,553.12 : 478,051 = 205,954.06 : x
  2. Step 2: Convert to fraction form
    318,553.12/478,051 = 205,954.06/x
  3. Step 3: Cross multiply
    318,553.12x = 478,051 × 205,954.06
  4. Step 4: Simplify right side
    318,553.12x = 98,456,544,337.06
  5. Step 5: Solve for x
    x = 98,456,544,337.06/318,553.12
  6. Step 6: Final answer
    x = 309,074.18

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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.