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Finding the Fourth Proportional to 369,046.80, 509,282.24 and 207,953.71

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Solution

The fourth proportional to 369,046.80, 509,282.24 and 207,953.71 is: 286,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,046.80 : 509,282.24 = 207,953.71 : x
  2. Step 2: Convert to fraction form
    369,046.80/509,282.24 = 207,953.71/x
  3. Step 3: Cross multiply
    369,046.80x = 509,282.24 × 207,953.71
  4. Step 4: Simplify right side
    369,046.80x = 105,907,128,932.14
  5. Step 5: Solve for x
    x = 105,907,128,932.14/369,046.80
  6. Step 6: Final answer
    x = 286,974.79

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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.