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Finding the Fourth Proportional to 318,731.10, 478,113.93 and 119,103.90

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Solution

The fourth proportional to 318,731.10, 478,113.93 and 119,103.90 is: 178,662.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,731.10 : 478,113.93 = 119,103.90 : x
  2. Step 2: Convert to fraction form
    318,731.10/478,113.93 = 119,103.90/x
  3. Step 3: Cross multiply
    318,731.10x = 478,113.93 × 119,103.90
  4. Step 4: Simplify right side
    318,731.10x = 56,945,233,707.33
  5. Step 5: Solve for x
    x = 56,945,233,707.33/318,731.10
  6. Step 6: Final answer
    x = 178,662.31

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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.