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Finding the Fourth Proportional to 321,314.61, 443,429.10 and 178,074.66

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Solution

The fourth proportional to 321,314.61, 443,429.10 and 178,074.66 is: 245,751.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,314.61 : 443,429.10 = 178,074.66 : x
  2. Step 2: Convert to fraction form
    321,314.61/443,429.10 = 178,074.66/x
  3. Step 3: Cross multiply
    321,314.61x = 443,429.10 × 178,074.66
  4. Step 4: Simplify right side
    321,314.61x = 78,963,486,216.61
  5. Step 5: Solve for x
    x = 78,963,486,216.61/321,314.61
  6. Step 6: Final answer
    x = 245,751.31

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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.