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Finding the Fourth Proportional to 456,858, 685,287 and 124,434

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Solution

The fourth proportional to 456,858, 685,287 and 124,434 is: 186,651

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,858 : 685,287 = 124,434 : x
  2. Step 2: Convert to fraction form
    456,858/685,287 = 124,434/x
  3. Step 3: Cross multiply
    456,858x = 685,287 × 124,434
  4. Step 4: Simplify right side
    456,858x = 85,273,002,558
  5. Step 5: Solve for x
    x = 85,273,002,558/456,858
  6. Step 6: Final answer
    x = 186,651

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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.