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Finding the Fourth Proportional to 498,653.80, 687,541.92 and 345,824.44

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Solution

The fourth proportional to 498,653.80, 687,541.92 and 345,824.44 is: 476,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,653.80 : 687,541.92 = 345,824.44 : x
  2. Step 2: Convert to fraction form
    498,653.80/687,541.92 = 345,824.44/x
  3. Step 3: Cross multiply
    498,653.80x = 687,541.92 × 345,824.44
  4. Step 4: Simplify right side
    498,653.80x = 237,768,799,460.53
  5. Step 5: Solve for x
    x = 237,768,799,460.53/498,653.80
  6. Step 6: Final answer
    x = 476,821.39

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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.