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Finding the Fourth Proportional to 685,562, 1,028,438.74 and 286,111.32

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Solution

The fourth proportional to 685,562, 1,028,438.74 and 286,111.32 is: 429,206.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,562 : 1,028,438.74 = 286,111.32 : x
  2. Step 2: Convert to fraction form
    685,562/1,028,438.74 = 286,111.32/x
  3. Step 3: Cross multiply
    685,562x = 1,028,438.74 × 286,111.32
  4. Step 4: Simplify right side
    685,562x = 294,247,965,440.54
  5. Step 5: Solve for x
    x = 294,247,965,440.54/685,562
  6. Step 6: Final answer
    x = 429,206.94

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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.