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Finding the Fourth Proportional to 317,455, 438,074.11 and 174,217.43

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Solution

The fourth proportional to 317,455, 438,074.11 and 174,217.43 is: 240,412.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,455 : 438,074.11 = 174,217.43 : x
  2. Step 2: Convert to fraction form
    317,455/438,074.11 = 174,217.43/x
  3. Step 3: Cross multiply
    317,455x = 438,074.11 × 174,217.43
  4. Step 4: Simplify right side
    317,455x = 76,320,145,593.74
  5. Step 5: Solve for x
    x = 76,320,145,593.74/317,455
  6. Step 6: Final answer
    x = 240,412.49

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1.5x scale

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.