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Finding the Fourth Proportional to 483,065.40, 723,215.70 and 427,769.40

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Solution

The fourth proportional to 483,065.40, 723,215.70 and 427,769.40 is: 640,429.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,065.40 : 723,215.70 = 427,769.40 : x
  2. Step 2: Convert to fraction form
    483,065.40/723,215.70 = 427,769.40/x
  3. Step 3: Cross multiply
    483,065.40x = 723,215.70 × 427,769.40
  4. Step 4: Simplify right side
    483,065.40x = 309,369,546,059.58
  5. Step 5: Solve for x
    x = 309,369,546,059.58/483,065.40
  6. Step 6: Final answer
    x = 640,429.94

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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.