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Finding the Fourth Proportional to 492,314.34, 738,471.50 and 155,381.20

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Solution

The fourth proportional to 492,314.34, 738,471.50 and 155,381.20 is: 233,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,314.34 : 738,471.50 = 155,381.20 : x
  2. Step 2: Convert to fraction form
    492,314.34/738,471.50 = 155,381.20/x
  3. Step 3: Cross multiply
    492,314.34x = 738,471.50 × 155,381.20
  4. Step 4: Simplify right side
    492,314.34x = 114,744,587,835.80
  5. Step 5: Solve for x
    x = 114,744,587,835.80/492,314.34
  6. Step 6: Final answer
    x = 233,071.80

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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.