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Finding the Fourth Proportional to 442,930.40, 664,492.80 and 143,424.80

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Solution

The fourth proportional to 442,930.40, 664,492.80 and 143,424.80 is: 215,168.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,930.40 : 664,492.80 = 143,424.80 : x
  2. Step 2: Convert to fraction form
    442,930.40/664,492.80 = 143,424.80/x
  3. Step 3: Cross multiply
    442,930.40x = 664,492.80 × 143,424.80
  4. Step 4: Simplify right side
    442,930.40x = 95,304,746,941.44
  5. Step 5: Solve for x
    x = 95,304,746,941.44/442,930.40
  6. Step 6: Final answer
    x = 215,168.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.