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Finding the Fourth Proportional to 313,272.30, 469,580.40 and 123,659.40

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Solution

The fourth proportional to 313,272.30, 469,580.40 and 123,659.40 is: 185,359.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,272.30 : 469,580.40 = 123,659.40 : x
  2. Step 2: Convert to fraction form
    313,272.30/469,580.40 = 123,659.40/x
  3. Step 3: Cross multiply
    313,272.30x = 469,580.40 × 123,659.40
  4. Step 4: Simplify right side
    313,272.30x = 58,068,030,515.76
  5. Step 5: Solve for x
    x = 58,068,030,515.76/313,272.30
  6. Step 6: Final answer
    x = 185,359.61

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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.