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Finding the Fourth Proportional to 499,007.50, 749,070.77 and 199,696.70

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Solution

The fourth proportional to 499,007.50, 749,070.77 and 199,696.70 is: 299,768.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,007.50 : 749,070.77 = 199,696.70 : x
  2. Step 2: Convert to fraction form
    499,007.50/749,070.77 = 199,696.70/x
  3. Step 3: Cross multiply
    499,007.50x = 749,070.77 × 199,696.70
  4. Step 4: Simplify right side
    499,007.50x = 149,586,961,334.70
  5. Step 5: Solve for x
    x = 149,586,961,334.70/499,007.50
  6. Step 6: Final answer
    x = 299,768.97

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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.