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Finding the Fourth Proportional to 591,378.84, 816,103.10 and 319,446.72

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Solution

The fourth proportional to 591,378.84, 816,103.10 and 319,446.72 is: 440,836.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,378.84 : 816,103.10 = 319,446.72 : x
  2. Step 2: Convert to fraction form
    591,378.84/816,103.10 = 319,446.72/x
  3. Step 3: Cross multiply
    591,378.84x = 816,103.10 × 319,446.72
  4. Step 4: Simplify right side
    591,378.84x = 260,701,458,476.83
  5. Step 5: Solve for x
    x = 260,701,458,476.83/591,378.84
  6. Step 6: Final answer
    x = 440,836.64

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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.