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Finding the Fourth Proportional to 374,172, 516,392.88 and 204,431.68

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Solution

The fourth proportional to 374,172, 516,392.88 and 204,431.68 is: 282,135.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,172 : 516,392.88 = 204,431.68 : x
  2. Step 2: Convert to fraction form
    374,172/516,392.88 = 204,431.68/x
  3. Step 3: Cross multiply
    374,172x = 516,392.88 × 204,431.68
  4. Step 4: Simplify right side
    374,172x = 105,567,063,998.44
  5. Step 5: Solve for x
    x = 105,567,063,998.44/374,172
  6. Step 6: Final answer
    x = 282,135.13

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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.