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Finding the Fourth Proportional to 309,945.60, 463,996.80 and 185,529.60

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Solution

The fourth proportional to 309,945.60, 463,996.80 and 185,529.60 is: 277,742.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,945.60 : 463,996.80 = 185,529.60 : x
  2. Step 2: Convert to fraction form
    309,945.60/463,996.80 = 185,529.60/x
  3. Step 3: Cross multiply
    309,945.60x = 463,996.80 × 185,529.60
  4. Step 4: Simplify right side
    309,945.60x = 86,085,140,705.28
  5. Step 5: Solve for x
    x = 86,085,140,705.28/309,945.60
  6. Step 6: Final answer
    x = 277,742.74

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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.