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Finding the Fourth Proportional to 499,424, 749,136 and 149,216

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Solution

The fourth proportional to 499,424, 749,136 and 149,216 is: 223,824

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,424 : 749,136 = 149,216 : x
  2. Step 2: Convert to fraction form
    499,424/749,136 = 149,216/x
  3. Step 3: Cross multiply
    499,424x = 749,136 × 149,216
  4. Step 4: Simplify right side
    499,424x = 111,783,077,376
  5. Step 5: Solve for x
    x = 111,783,077,376/499,424
  6. Step 6: Final answer
    x = 223,824

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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.