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Finding the Fourth Proportional to 494,856.60, 742,187.70 and 162,432.60

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Solution

The fourth proportional to 494,856.60, 742,187.70 and 162,432.60 is: 243,616.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,856.60 : 742,187.70 = 162,432.60 : x
  2. Step 2: Convert to fraction form
    494,856.60/742,187.70 = 162,432.60/x
  3. Step 3: Cross multiply
    494,856.60x = 742,187.70 × 162,432.60
  4. Step 4: Simplify right side
    494,856.60x = 120,555,477,799.02
  5. Step 5: Solve for x
    x = 120,555,477,799.02/494,856.60
  6. Step 6: Final answer
    x = 243,616.99

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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.