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Finding the Fourth Proportional to 257,628, 355,405.68 and 182,218.08

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Solution

The fourth proportional to 257,628, 355,405.68 and 182,218.08 is: 251,375.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,628 : 355,405.68 = 182,218.08 : x
  2. Step 2: Convert to fraction form
    257,628/355,405.68 = 182,218.08/x
  3. Step 3: Cross multiply
    257,628x = 355,405.68 × 182,218.08
  4. Step 4: Simplify right side
    257,628x = 64,761,340,630.69
  5. Step 5: Solve for x
    x = 64,761,340,630.69/257,628
  6. Step 6: Final answer
    x = 251,375.40

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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.