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Finding the Fourth Proportional to 645,136.30, 967,376.40 and 378,978.40

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Solution

The fourth proportional to 645,136.30, 967,376.40 and 378,978.40 is: 568,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,136.30 : 967,376.40 = 378,978.40 : x
  2. Step 2: Convert to fraction form
    645,136.30/967,376.40 = 378,978.40/x
  3. Step 3: Cross multiply
    645,136.30x = 967,376.40 × 378,978.40
  4. Step 4: Simplify right side
    645,136.30x = 366,614,760,269.76
  5. Step 5: Solve for x
    x = 366,614,760,269.76/645,136.30
  6. Step 6: Final answer
    x = 568,274.89

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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.