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Finding the Fourth Proportional to 456,859, 685,288.50 and 124,435

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Solution

The fourth proportional to 456,859, 685,288.50 and 124,435 is: 186,652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,859 : 685,288.50 = 124,435 : x
  2. Step 2: Convert to fraction form
    456,859/685,288.50 = 124,435/x
  3. Step 3: Cross multiply
    456,859x = 685,288.50 × 124,435
  4. Step 4: Simplify right side
    456,859x = 85,273,874,497.50
  5. Step 5: Solve for x
    x = 85,273,874,497.50/456,859
  6. Step 6: Final answer
    x = 186,652.50

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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.