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Finding the Fourth Proportional to 567,745.91, 783,488.80 and 309,623.34

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Solution

The fourth proportional to 567,745.91, 783,488.80 and 309,623.34 is: 427,279.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,745.91 : 783,488.80 = 309,623.34 : x
  2. Step 2: Convert to fraction form
    567,745.91/783,488.80 = 309,623.34/x
  3. Step 3: Cross multiply
    567,745.91x = 783,488.80 × 309,623.34
  4. Step 4: Simplify right side
    567,745.91x = 242,586,422,433.70
  5. Step 5: Solve for x
    x = 242,586,422,433.70/567,745.91
  6. Step 6: Final answer
    x = 427,279.91

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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.