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Finding the Fourth Proportional to 547,634.40, 820,568.40 and 310,271.20

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Solution

The fourth proportional to 547,634.40, 820,568.40 and 310,271.20 is: 464,906.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,634.40 : 820,568.40 = 310,271.20 : x
  2. Step 2: Convert to fraction form
    547,634.40/820,568.40 = 310,271.20/x
  3. Step 3: Cross multiply
    547,634.40x = 820,568.40 × 310,271.20
  4. Step 4: Simplify right side
    547,634.40x = 254,598,742,150.08
  5. Step 5: Solve for x
    x = 254,598,742,150.08/547,634.40
  6. Step 6: Final answer
    x = 464,906.41

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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.