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Finding the Fourth Proportional to 498,666, 688,208.88 and 297,462

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Solution

The fourth proportional to 498,666, 688,208.88 and 297,462 is: 410,527.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,666 : 688,208.88 = 297,462 : x
  2. Step 2: Convert to fraction form
    498,666/688,208.88 = 297,462/x
  3. Step 3: Cross multiply
    498,666x = 688,208.88 × 297,462
  4. Step 4: Simplify right side
    498,666x = 204,715,989,862.56
  5. Step 5: Solve for x
    x = 204,715,989,862.56/498,666
  6. Step 6: Final answer
    x = 410,527.27

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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.