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Finding the Fourth Proportional to 318,979.76, 478,453.74 and 119,285.46

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Solution

The fourth proportional to 318,979.76, 478,453.74 and 119,285.46 is: 178,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,979.76 : 478,453.74 = 119,285.46 : x
  2. Step 2: Convert to fraction form
    318,979.76/478,453.74 = 119,285.46/x
  3. Step 3: Cross multiply
    318,979.76x = 478,453.74 × 119,285.46
  4. Step 4: Simplify right side
    318,979.76x = 57,072,573,868.19
  5. Step 5: Solve for x
    x = 57,072,573,868.19/318,979.76
  6. Step 6: Final answer
    x = 178,922.24

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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.