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Finding the Fourth Proportional to 283,338.40, 425,007.60 and 216,983.20

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Solution

The fourth proportional to 283,338.40, 425,007.60 and 216,983.20 is: 325,474.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,338.40 : 425,007.60 = 216,983.20 : x
  2. Step 2: Convert to fraction form
    283,338.40/425,007.60 = 216,983.20/x
  3. Step 3: Cross multiply
    283,338.40x = 425,007.60 × 216,983.20
  4. Step 4: Simplify right side
    283,338.40x = 92,219,509,072.32
  5. Step 5: Solve for x
    x = 92,219,509,072.32/283,338.40
  6. Step 6: Final answer
    x = 325,474.80

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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.