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Finding the Fourth Proportional to 456,840, 685,260 and 124,416

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Solution

The fourth proportional to 456,840, 685,260 and 124,416 is: 186,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,840 : 685,260 = 124,416 : x
  2. Step 2: Convert to fraction form
    456,840/685,260 = 124,416/x
  3. Step 3: Cross multiply
    456,840x = 685,260 × 124,416
  4. Step 4: Simplify right side
    456,840x = 85,257,308,160
  5. Step 5: Solve for x
    x = 85,257,308,160/456,840
  6. Step 6: Final answer
    x = 186,624

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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.