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Finding the Fourth Proportional to 318,916.80, 478,375.20 and 97,300.80

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Solution

The fourth proportional to 318,916.80, 478,375.20 and 97,300.80 is: 145,951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,916.80 : 478,375.20 = 97,300.80 : x
  2. Step 2: Convert to fraction form
    318,916.80/478,375.20 = 97,300.80/x
  3. Step 3: Cross multiply
    318,916.80x = 478,375.20 × 97,300.80
  4. Step 4: Simplify right side
    318,916.80x = 46,546,289,660.16
  5. Step 5: Solve for x
    x = 46,546,289,660.16/318,916.80
  6. Step 6: Final answer
    x = 145,951.20

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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.