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Finding the Fourth Proportional to 521,358.94, 782,012.46 and 305,339.08

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Solution

The fourth proportional to 521,358.94, 782,012.46 and 305,339.08 is: 457,993.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,358.94 : 782,012.46 = 305,339.08 : x
  2. Step 2: Convert to fraction form
    521,358.94/782,012.46 = 305,339.08/x
  3. Step 3: Cross multiply
    521,358.94x = 782,012.46 × 305,339.08
  4. Step 4: Simplify right side
    521,358.94x = 238,778,965,084.94
  5. Step 5: Solve for x
    x = 238,778,965,084.94/521,358.94
  6. Step 6: Final answer
    x = 457,993.42

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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.