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Finding the Fourth Proportional to 540,930.09, 746,474.31 and 299,212.47

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Solution

The fourth proportional to 540,930.09, 746,474.31 and 299,212.47 is: 412,908.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,930.09 : 746,474.31 = 299,212.47 : x
  2. Step 2: Convert to fraction form
    540,930.09/746,474.31 = 299,212.47/x
  3. Step 3: Cross multiply
    540,930.09x = 746,474.31 × 299,212.47
  4. Step 4: Simplify right side
    540,930.09x = 223,354,422,086.65
  5. Step 5: Solve for x
    x = 223,354,422,086.65/540,930.09
  6. Step 6: Final answer
    x = 412,908.11

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1.5x scale

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.