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Finding the Fourth Proportional to 305,225.99, 457,904.60 and 102,842.21

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Solution

The fourth proportional to 305,225.99, 457,904.60 and 102,842.21 is: 154,285.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,225.99 : 457,904.60 = 102,842.21 : x
  2. Step 2: Convert to fraction form
    305,225.99/457,904.60 = 102,842.21/x
  3. Step 3: Cross multiply
    305,225.99x = 457,904.60 × 102,842.21
  4. Step 4: Simplify right side
    305,225.99x = 47,091,918,229.43
  5. Step 5: Solve for x
    x = 47,091,918,229.43/305,225.99
  6. Step 6: Final answer
    x = 154,285.42

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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.