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Finding the Fourth Proportional to 539,117.70, 743,987.61 and 297,410.46

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Solution

The fourth proportional to 539,117.70, 743,987.61 and 297,410.46 is: 410,429.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,117.70 : 743,987.61 = 297,410.46 : x
  2. Step 2: Convert to fraction form
    539,117.70/743,987.61 = 297,410.46/x
  3. Step 3: Cross multiply
    539,117.70x = 743,987.61 × 297,410.46
  4. Step 4: Simplify right side
    539,117.70x = 221,269,697,324.40
  5. Step 5: Solve for x
    x = 221,269,697,324.40/539,117.70
  6. Step 6: Final answer
    x = 410,429.29

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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.