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Finding the Fourth Proportional to 313,146.60, 469,719.90 and 135,999.60

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Solution

The fourth proportional to 313,146.60, 469,719.90 and 135,999.60 is: 203,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,146.60 : 469,719.90 = 135,999.60 : x
  2. Step 2: Convert to fraction form
    313,146.60/469,719.90 = 135,999.60/x
  3. Step 3: Cross multiply
    313,146.60x = 469,719.90 × 135,999.60
  4. Step 4: Simplify right side
    313,146.60x = 63,881,718,512.04
  5. Step 5: Solve for x
    x = 63,881,718,512.04/313,146.60
  6. Step 6: Final answer
    x = 203,999.40

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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.