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Finding the Fourth Proportional to 442,708.40, 663,976.20 and 143,116.40

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Solution

The fourth proportional to 442,708.40, 663,976.20 and 143,116.40 is: 214,646.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,708.40 : 663,976.20 = 143,116.40 : x
  2. Step 2: Convert to fraction form
    442,708.40/663,976.20 = 143,116.40/x
  3. Step 3: Cross multiply
    442,708.40x = 663,976.20 × 143,116.40
  4. Step 4: Simplify right side
    442,708.40x = 95,025,883,429.68
  5. Step 5: Solve for x
    x = 95,025,883,429.68/442,708.40
  6. Step 6: Final answer
    x = 214,646.67

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1.5x scale

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.