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Finding the Fourth Proportional to 317,698.61, 438,421.82 and 174,455.78

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Solution

The fourth proportional to 317,698.61, 438,421.82 and 174,455.78 is: 240,747.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,698.61 : 438,421.82 = 174,455.78 : x
  2. Step 2: Convert to fraction form
    317,698.61/438,421.82 = 174,455.78/x
  3. Step 3: Cross multiply
    317,698.61x = 438,421.82 × 174,455.78
  4. Step 4: Simplify right side
    317,698.61x = 76,485,217,512.73
  5. Step 5: Solve for x
    x = 76,485,217,512.73/317,698.61
  6. Step 6: Final answer
    x = 240,747.73

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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.