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Finding the Fourth Proportional to 368,935.75, 509,043.85 and 207,758.71

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Solution

The fourth proportional to 368,935.75, 509,043.85 and 207,758.71 is: 286,657.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,935.75 : 509,043.85 = 207,758.71 : x
  2. Step 2: Convert to fraction form
    368,935.75/509,043.85 = 207,758.71/x
  3. Step 3: Cross multiply
    368,935.75x = 509,043.85 × 207,758.71
  4. Step 4: Simplify right side
    368,935.75x = 105,758,293,609.43
  5. Step 5: Solve for x
    x = 105,758,293,609.43/368,935.75
  6. Step 6: Final answer
    x = 286,657.75

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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.