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Finding the Fourth Proportional to 425,266.84, 637,678.78 and 200,566.95

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Solution

The fourth proportional to 425,266.84, 637,678.78 and 200,566.95 is: 300,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,266.84 : 637,678.78 = 200,566.95 : x
  2. Step 2: Convert to fraction form
    425,266.84/637,678.78 = 200,566.95/x
  3. Step 3: Cross multiply
    425,266.84x = 637,678.78 × 200,566.95
  4. Step 4: Simplify right side
    425,266.84x = 127,897,287,984.32
  5. Step 5: Solve for x
    x = 127,897,287,984.32/425,266.84
  6. Step 6: Final answer
    x = 300,745.97

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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.