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Finding the Fourth Proportional to 442,078.62, 662,563.02 and 189,061.50

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Solution

The fourth proportional to 442,078.62, 662,563.02 and 189,061.50 is: 283,354.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,078.62 : 662,563.02 = 189,061.50 : x
  2. Step 2: Convert to fraction form
    442,078.62/662,563.02 = 189,061.50/x
  3. Step 3: Cross multiply
    442,078.62x = 662,563.02 × 189,061.50
  4. Step 4: Simplify right side
    442,078.62x = 125,265,158,405.73
  5. Step 5: Solve for x
    x = 125,265,158,405.73/442,078.62
  6. Step 6: Final answer
    x = 283,354.93

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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.