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Finding the Fourth Proportional to 539,063.70, 743,913.09 and 297,356.46

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Solution

The fourth proportional to 539,063.70, 743,913.09 and 297,356.46 is: 410,354.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,063.70 : 743,913.09 = 297,356.46 : x
  2. Step 2: Convert to fraction form
    539,063.70/743,913.09 = 297,356.46/x
  3. Step 3: Cross multiply
    539,063.70x = 743,913.09 × 297,356.46
  4. Step 4: Simplify right side
    539,063.70x = 221,207,362,990.06
  5. Step 5: Solve for x
    x = 221,207,362,990.06/539,063.70
  6. Step 6: Final answer
    x = 410,354.77

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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.