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Finding the Fourth Proportional to 312,804.78, 469,135.20 and 186,480.69

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Solution

The fourth proportional to 312,804.78, 469,135.20 and 186,480.69 is: 279,678.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,804.78 : 469,135.20 = 186,480.69 : x
  2. Step 2: Convert to fraction form
    312,804.78/469,135.20 = 186,480.69/x
  3. Step 3: Cross multiply
    312,804.78x = 469,135.20 × 186,480.69
  4. Step 4: Simplify right side
    312,804.78x = 87,484,655,799.29
  5. Step 5: Solve for x
    x = 87,484,655,799.29/312,804.78
  6. Step 6: Final answer
    x = 279,678.13

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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.