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Finding the Fourth Proportional to 331,740, 457,643.52 and 224,347.68

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Solution

The fourth proportional to 331,740, 457,643.52 and 224,347.68 is: 309,493.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,740 : 457,643.52 = 224,347.68 : x
  2. Step 2: Convert to fraction form
    331,740/457,643.52 = 224,347.68/x
  3. Step 3: Cross multiply
    331,740x = 457,643.52 × 224,347.68
  4. Step 4: Simplify right side
    331,740x = 102,671,261,979.03
  5. Step 5: Solve for x
    x = 102,671,261,979.03/331,740
  6. Step 6: Final answer
    x = 309,493.16

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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.