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Finding the Fourth Proportional to 509,505.92, 763,208.16 and 298,503.68

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Solution

The fourth proportional to 509,505.92, 763,208.16 and 298,503.68 is: 447,139.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,505.92 : 763,208.16 = 298,503.68 : x
  2. Step 2: Convert to fraction form
    509,505.92/763,208.16 = 298,503.68/x
  3. Step 3: Cross multiply
    509,505.92x = 763,208.16 × 298,503.68
  4. Step 4: Simplify right side
    509,505.92x = 227,820,444,366.03
  5. Step 5: Solve for x
    x = 227,820,444,366.03/509,505.92
  6. Step 6: Final answer
    x = 447,139.94

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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.