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Finding the Fourth Proportional to 498,662, 688,203.36 and 297,458

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Solution

The fourth proportional to 498,662, 688,203.36 and 297,458 is: 410,521.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,662 : 688,203.36 = 297,458 : x
  2. Step 2: Convert to fraction form
    498,662/688,203.36 = 297,458/x
  3. Step 3: Cross multiply
    498,662x = 688,203.36 × 297,458
  4. Step 4: Simplify right side
    498,662x = 204,711,595,058.88
  5. Step 5: Solve for x
    x = 204,711,595,058.88/498,662
  6. Step 6: Final answer
    x = 410,521.75

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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.