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Finding the Fourth Proportional to 321,647.14, 443,870.13 and 178,407.46

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Solution

The fourth proportional to 321,647.14, 443,870.13 and 178,407.46 is: 246,200.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,647.14 : 443,870.13 = 178,407.46 : x
  2. Step 2: Convert to fraction form
    321,647.14/443,870.13 = 178,407.46/x
  3. Step 3: Cross multiply
    321,647.14x = 443,870.13 × 178,407.46
  4. Step 4: Simplify right side
    321,647.14x = 79,189,742,463.17
  5. Step 5: Solve for x
    x = 79,189,742,463.17/321,647.14
  6. Step 6: Final answer
    x = 246,200.67

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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.