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Finding the Fourth Proportional to 321,400.04, 443,485.44 and 178,160

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Solution

The fourth proportional to 321,400.04, 443,485.44 and 178,160 is: 245,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,400.04 : 443,485.44 = 178,160 : x
  2. Step 2: Convert to fraction form
    321,400.04/443,485.44 = 178,160/x
  3. Step 3: Cross multiply
    321,400.04x = 443,485.44 × 178,160
  4. Step 4: Simplify right side
    321,400.04x = 79,011,365,990.40
  5. Step 5: Solve for x
    x = 79,011,365,990.40/321,400.04
  6. Step 6: Final answer
    x = 245,834.96

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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.