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Finding the Fourth Proportional to 309,112.56, 463,491 and 164,840.40

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Solution

The fourth proportional to 309,112.56, 463,491 and 164,840.40 is: 247,165.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,112.56 : 463,491 = 164,840.40 : x
  2. Step 2: Convert to fraction form
    309,112.56/463,491 = 164,840.40/x
  3. Step 3: Cross multiply
    309,112.56x = 463,491 × 164,840.40
  4. Step 4: Simplify right side
    309,112.56x = 76,402,041,836.40
  5. Step 5: Solve for x
    x = 76,402,041,836.40/309,112.56
  6. Step 6: Final answer
    x = 247,165.76

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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.