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Finding the Fourth Proportional to 298,915.52, 412,618.56 and 218,977.93

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Solution

The fourth proportional to 298,915.52, 412,618.56 and 218,977.93 is: 302,273.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,915.52 : 412,618.56 = 218,977.93 : x
  2. Step 2: Convert to fraction form
    298,915.52/412,618.56 = 218,977.93/x
  3. Step 3: Cross multiply
    298,915.52x = 412,618.56 × 218,977.93
  4. Step 4: Simplify right side
    298,915.52x = 90,354,357,842.99
  5. Step 5: Solve for x
    x = 90,354,357,842.99/298,915.52
  6. Step 6: Final answer
    x = 302,273.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.