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Finding the Fourth Proportional to 539,626.50, 743,992.29 and 442,472.40

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Solution

The fourth proportional to 539,626.50, 743,992.29 and 442,472.40 is: 610,044.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,626.50 : 743,992.29 = 442,472.40 : x
  2. Step 2: Convert to fraction form
    539,626.50/743,992.29 = 442,472.40/x
  3. Step 3: Cross multiply
    539,626.50x = 743,992.29 × 442,472.40
  4. Step 4: Simplify right side
    539,626.50x = 329,196,054,137.80
  5. Step 5: Solve for x
    x = 329,196,054,137.80/539,626.50
  6. Step 6: Final answer
    x = 610,044.27

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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.