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Finding the Fourth Proportional to 499,294.99, 689,039.22 and 303,063.68

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Solution

The fourth proportional to 499,294.99, 689,039.22 and 303,063.68 is: 418,235.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,294.99 : 689,039.22 = 303,063.68 : x
  2. Step 2: Convert to fraction form
    499,294.99/689,039.22 = 303,063.68/x
  3. Step 3: Cross multiply
    499,294.99x = 689,039.22 × 303,063.68
  4. Step 4: Simplify right side
    499,294.99x = 208,822,761,677.53
  5. Step 5: Solve for x
    x = 208,822,761,677.53/499,294.99
  6. Step 6: Final answer
    x = 418,235.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.