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Finding the Fourth Proportional to 257,295.40, 355,067.64 and 156,693.40

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Solution

The fourth proportional to 257,295.40, 355,067.64 and 156,693.40 is: 216,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,295.40 : 355,067.64 = 156,693.40 : x
  2. Step 2: Convert to fraction form
    257,295.40/355,067.64 = 156,693.40/x
  3. Step 3: Cross multiply
    257,295.40x = 355,067.64 × 156,693.40
  4. Step 4: Simplify right side
    257,295.40x = 55,636,755,741.58
  5. Step 5: Solve for x
    x = 55,636,755,741.58/257,295.40
  6. Step 6: Final answer
    x = 216,236.88

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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.