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Finding the Fourth Proportional to 316,920, 437,349.60 and 182,784

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Solution

The fourth proportional to 316,920, 437,349.60 and 182,784 is: 252,241.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,920 : 437,349.60 = 182,784 : x
  2. Step 2: Convert to fraction form
    316,920/437,349.60 = 182,784/x
  3. Step 3: Cross multiply
    316,920x = 437,349.60 × 182,784
  4. Step 4: Simplify right side
    316,920x = 79,940,509,286.40
  5. Step 5: Solve for x
    x = 79,940,509,286.40/316,920
  6. Step 6: Final answer
    x = 252,241.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.