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Finding the Fourth Proportional to 309,321, 464,009.76 and 96,090.12

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Solution

The fourth proportional to 309,321, 464,009.76 and 96,090.12 is: 144,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,321 : 464,009.76 = 96,090.12 : x
  2. Step 2: Convert to fraction form
    309,321/464,009.76 = 96,090.12/x
  3. Step 3: Cross multiply
    309,321x = 464,009.76 × 96,090.12
  4. Step 4: Simplify right side
    309,321x = 44,586,753,519.57
  5. Step 5: Solve for x
    x = 44,586,753,519.57/309,321
  6. Step 6: Final answer
    x = 144,143.96

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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.