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Finding the Fourth Proportional to 492,218.96, 738,499.68 and 155,311.64

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Solution

The fourth proportional to 492,218.96, 738,499.68 and 155,311.64 is: 233,021.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,218.96 : 738,499.68 = 155,311.64 : x
  2. Step 2: Convert to fraction form
    492,218.96/738,499.68 = 155,311.64/x
  3. Step 3: Cross multiply
    492,218.96x = 738,499.68 × 155,311.64
  4. Step 4: Simplify right side
    492,218.96x = 114,697,596,440.28
  5. Step 5: Solve for x
    x = 114,697,596,440.28/492,218.96
  6. Step 6: Final answer
    x = 233,021.49

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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.