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Finding the Fourth Proportional to 492,406.13, 738,708.56 and 155,499.41

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Solution

The fourth proportional to 492,406.13, 738,708.56 and 155,499.41 is: 233,280.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,406.13 : 738,708.56 = 155,499.41 : x
  2. Step 2: Convert to fraction form
    492,406.13/738,708.56 = 155,499.41/x
  3. Step 3: Cross multiply
    492,406.13x = 738,708.56 × 155,499.41
  4. Step 4: Simplify right side
    492,406.13x = 114,868,745,241.95
  5. Step 5: Solve for x
    x = 114,868,745,241.95/492,406.13
  6. Step 6: Final answer
    x = 233,280.49

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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.