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Finding the Fourth Proportional to 320,442, 442,202.64 and 177,203.22

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Solution

The fourth proportional to 320,442, 442,202.64 and 177,203.22 is: 244,536.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,442 : 442,202.64 = 177,203.22 : x
  2. Step 2: Convert to fraction form
    320,442/442,202.64 = 177,203.22/x
  3. Step 3: Cross multiply
    320,442x = 442,202.64 × 177,203.22
  4. Step 4: Simplify right side
    320,442x = 78,359,731,700.50
  5. Step 5: Solve for x
    x = 78,359,731,700.50/320,442
  6. Step 6: Final answer
    x = 244,536.40

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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.