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Finding the Fourth Proportional to 499,425, 749,137.50 and 149,217

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Solution

The fourth proportional to 499,425, 749,137.50 and 149,217 is: 223,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,425 : 749,137.50 = 149,217 : x
  2. Step 2: Convert to fraction form
    499,425/749,137.50 = 149,217/x
  3. Step 3: Cross multiply
    499,425x = 749,137.50 × 149,217
  4. Step 4: Simplify right side
    499,425x = 111,784,050,337.50
  5. Step 5: Solve for x
    x = 111,784,050,337.50/499,425
  6. Step 6: Final answer
    x = 223,825.50

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1.5x scale

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.