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Finding the Fourth Proportional to 317,659.37, 438,377.00 and 174,420

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Solution

The fourth proportional to 317,659.37, 438,377.00 and 174,420 is: 240,703.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,659.37 : 438,377.00 = 174,420 : x
  2. Step 2: Convert to fraction form
    317,659.37/438,377.00 = 174,420/x
  3. Step 3: Cross multiply
    317,659.37x = 438,377.00 × 174,420
  4. Step 4: Simplify right side
    317,659.37x = 76,461,715,467.90
  5. Step 5: Solve for x
    x = 76,461,715,467.90/317,659.37
  6. Step 6: Final answer
    x = 240,703.48

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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.