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Finding the Fourth Proportional to 321,152.80, 443,158.57 and 177,886.07

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Solution

The fourth proportional to 321,152.80, 443,158.57 and 177,886.07 is: 245,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,152.80 : 443,158.57 = 177,886.07 : x
  2. Step 2: Convert to fraction form
    321,152.80/443,158.57 = 177,886.07/x
  3. Step 3: Cross multiply
    321,152.80x = 443,158.57 × 177,886.07
  4. Step 4: Simplify right side
    321,152.80x = 78,831,738,064.99
  5. Step 5: Solve for x
    x = 78,831,738,064.99/321,152.80
  6. Step 6: Final answer
    x = 245,464.89

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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.