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Finding the Fourth Proportional to 442,090.44, 662,577.30 and 189,070.20

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Solution

The fourth proportional to 442,090.44, 662,577.30 and 189,070.20 is: 283,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,090.44 : 662,577.30 = 189,070.20 : x
  2. Step 2: Convert to fraction form
    442,090.44/662,577.30 = 189,070.20/x
  3. Step 3: Cross multiply
    442,090.44x = 662,577.30 × 189,070.20
  4. Step 4: Simplify right side
    442,090.44x = 125,273,622,626.46
  5. Step 5: Solve for x
    x = 125,273,622,626.46/442,090.44
  6. Step 6: Final answer
    x = 283,366.50

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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.