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Finding the Fourth Proportional to 282,804.54, 423,283.77 and 207,904.86

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Solution

The fourth proportional to 282,804.54, 423,283.77 and 207,904.86 is: 311,178.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,804.54 : 423,283.77 = 207,904.86 : x
  2. Step 2: Convert to fraction form
    282,804.54/423,283.77 = 207,904.86/x
  3. Step 3: Cross multiply
    282,804.54x = 423,283.77 × 207,904.86
  4. Step 4: Simplify right side
    282,804.54x = 88,002,752,942.12
  5. Step 5: Solve for x
    x = 88,002,752,942.12/282,804.54
  6. Step 6: Final answer
    x = 311,178.71

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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.