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Finding the Fourth Proportional to 499,488.32, 689,361.44 and 281,741.68

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Solution

The fourth proportional to 499,488.32, 689,361.44 and 281,741.68 is: 388,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,488.32 : 689,361.44 = 281,741.68 : x
  2. Step 2: Convert to fraction form
    499,488.32/689,361.44 = 281,741.68/x
  3. Step 3: Cross multiply
    499,488.32x = 689,361.44 × 281,741.68
  4. Step 4: Simplify right side
    499,488.32x = 194,221,850,232.82
  5. Step 5: Solve for x
    x = 194,221,850,232.82/499,488.32
  6. Step 6: Final answer
    x = 388,841.63

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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.