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Finding the Fourth Proportional to 354,323.84, 530,884.40 and 213,787.28

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Solution

The fourth proportional to 354,323.84, 530,884.40 and 213,787.28 is: 320,318.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,323.84 : 530,884.40 = 213,787.28 : x
  2. Step 2: Convert to fraction form
    354,323.84/530,884.40 = 213,787.28/x
  3. Step 3: Cross multiply
    354,323.84x = 530,884.40 × 213,787.28
  4. Step 4: Simplify right side
    354,323.84x = 113,496,331,870.43
  5. Step 5: Solve for x
    x = 113,496,331,870.43/354,323.84
  6. Step 6: Final answer
    x = 320,318.08

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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.