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Finding the Fourth Proportional to 309,622.40, 463,742.40 and 239,273.60

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Solution

The fourth proportional to 309,622.40, 463,742.40 and 239,273.60 is: 358,376.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,622.40 : 463,742.40 = 239,273.60 : x
  2. Step 2: Convert to fraction form
    309,622.40/463,742.40 = 239,273.60/x
  3. Step 3: Cross multiply
    309,622.40x = 463,742.40 × 239,273.60
  4. Step 4: Simplify right side
    309,622.40x = 110,961,313,520.64
  5. Step 5: Solve for x
    x = 110,961,313,520.64/309,622.40
  6. Step 6: Final answer
    x = 358,376.25

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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.