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Finding the Fourth Proportional to 309,639.40, 464,321 and 107,254.40

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Solution

The fourth proportional to 309,639.40, 464,321 and 107,254.40 is: 160,833.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,639.40 : 464,321 = 107,254.40 : x
  2. Step 2: Convert to fraction form
    309,639.40/464,321 = 107,254.40/x
  3. Step 3: Cross multiply
    309,639.40x = 464,321 × 107,254.40
  4. Step 4: Simplify right side
    309,639.40x = 49,800,470,262.40
  5. Step 5: Solve for x
    x = 49,800,470,262.40/309,639.40
  6. Step 6: Final answer
    x = 160,833.76

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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.