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Finding the Fourth Proportional to 442,720.76, 664,166.45 and 143,275.64

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Solution

The fourth proportional to 442,720.76, 664,166.45 and 143,275.64 is: 214,941.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,720.76 : 664,166.45 = 143,275.64 : x
  2. Step 2: Convert to fraction form
    442,720.76/664,166.45 = 143,275.64/x
  3. Step 3: Cross multiply
    442,720.76x = 664,166.45 × 143,275.64
  4. Step 4: Simplify right side
    442,720.76x = 95,158,870,227.63
  5. Step 5: Solve for x
    x = 95,158,870,227.63/442,720.76
  6. Step 6: Final answer
    x = 214,941.06

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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.