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Finding the Fourth Proportional to 318,838.17, 478,243.42 and 119,160.29

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Solution

The fourth proportional to 318,838.17, 478,243.42 and 119,160.29 is: 178,735.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,838.17 : 478,243.42 = 119,160.29 : x
  2. Step 2: Convert to fraction form
    318,838.17/478,243.42 = 119,160.29/x
  3. Step 3: Cross multiply
    318,838.17x = 478,243.42 × 119,160.29
  4. Step 4: Simplify right side
    318,838.17x = 56,987,624,021.99
  5. Step 5: Solve for x
    x = 56,987,624,021.99/318,838.17
  6. Step 6: Final answer
    x = 178,735.26

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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.