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Finding the Fourth Proportional to 321,700.90, 443,943.10 and 174,523.58

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Solution

The fourth proportional to 321,700.90, 443,943.10 and 174,523.58 is: 240,840.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,700.90 : 443,943.10 = 174,523.58 : x
  2. Step 2: Convert to fraction form
    321,700.90/443,943.10 = 174,523.58/x
  3. Step 3: Cross multiply
    321,700.90x = 443,943.10 × 174,523.58
  4. Step 4: Simplify right side
    321,700.90x = 77,478,539,128.30
  5. Step 5: Solve for x
    x = 77,478,539,128.30/321,700.90
  6. Step 6: Final answer
    x = 240,840.29

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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.