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Finding the Fourth Proportional to 499,934.60, 689,192.06 and 356,445.54

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Solution

The fourth proportional to 499,934.60, 689,192.06 and 356,445.54 is: 491,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,934.60 : 689,192.06 = 356,445.54 : x
  2. Step 2: Convert to fraction form
    499,934.60/689,192.06 = 356,445.54/x
  3. Step 3: Cross multiply
    499,934.60x = 689,192.06 × 356,445.54
  4. Step 4: Simplify right side
    499,934.60x = 245,659,435,990.41
  5. Step 5: Solve for x
    x = 245,659,435,990.41/499,934.60
  6. Step 6: Final answer
    x = 491,383.14

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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.