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Finding the Fourth Proportional to 315,873.14, 475,940.86 and 260,943.80

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Solution

The fourth proportional to 315,873.14, 475,940.86 and 260,943.80 is: 393,176.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,873.14 : 475,940.86 = 260,943.80 : x
  2. Step 2: Convert to fraction form
    315,873.14/475,940.86 = 260,943.80/x
  3. Step 3: Cross multiply
    315,873.14x = 475,940.86 × 260,943.80
  4. Step 4: Simplify right side
    315,873.14x = 124,193,816,583.67
  5. Step 5: Solve for x
    x = 124,193,816,583.67/315,873.14
  6. Step 6: Final answer
    x = 393,176.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.