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Finding the Fourth Proportional to 492,538.68, 738,849.90 and 155,489.16

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Solution

The fourth proportional to 492,538.68, 738,849.90 and 155,489.16 is: 233,246.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,538.68 : 738,849.90 = 155,489.16 : x
  2. Step 2: Convert to fraction form
    492,538.68/738,849.90 = 155,489.16/x
  3. Step 3: Cross multiply
    492,538.68x = 738,849.90 × 155,489.16
  4. Step 4: Simplify right side
    492,538.68x = 114,883,150,317.08
  5. Step 5: Solve for x
    x = 114,883,150,317.08/492,538.68
  6. Step 6: Final answer
    x = 233,246.96

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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.