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Finding the Fourth Proportional to 442,312.60, 663,323.10 and 161,793.40

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Solution

The fourth proportional to 442,312.60, 663,323.10 and 161,793.40 is: 242,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,312.60 : 663,323.10 = 161,793.40 : x
  2. Step 2: Convert to fraction form
    442,312.60/663,323.10 = 161,793.40/x
  3. Step 3: Cross multiply
    442,312.60x = 663,323.10 × 161,793.40
  4. Step 4: Simplify right side
    442,312.60x = 107,321,299,647.54
  5. Step 5: Solve for x
    x = 107,321,299,647.54/442,312.60
  6. Step 6: Final answer
    x = 242,636.77

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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.