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Finding the Fourth Proportional to 369,338.56, 509,727.71 and 214,324

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Solution

The fourth proportional to 369,338.56, 509,727.71 and 214,324 is: 295,790.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,338.56 : 509,727.71 = 214,324 : x
  2. Step 2: Convert to fraction form
    369,338.56/509,727.71 = 214,324/x
  3. Step 3: Cross multiply
    369,338.56x = 509,727.71 × 214,324
  4. Step 4: Simplify right side
    369,338.56x = 109,246,881,718.04
  5. Step 5: Solve for x
    x = 109,246,881,718.04/369,338.56
  6. Step 6: Final answer
    x = 295,790.62

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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.