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Finding the Fourth Proportional to 340,285.57, 509,866.71 and 197,730.69

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Solution

The fourth proportional to 340,285.57, 509,866.71 and 197,730.69 is: 296,269.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,285.57 : 509,866.71 = 197,730.69 : x
  2. Step 2: Convert to fraction form
    340,285.57/509,866.71 = 197,730.69/x
  3. Step 3: Cross multiply
    340,285.57x = 509,866.71 × 197,730.69
  4. Step 4: Simplify right side
    340,285.57x = 100,816,296,376.33
  5. Step 5: Solve for x
    x = 100,816,296,376.33/340,285.57
  6. Step 6: Final answer
    x = 296,269.68

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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.