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Finding the Fourth Proportional to 509,199.84, 763,800 and 135,222.84

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Solution

The fourth proportional to 509,199.84, 763,800 and 135,222.84 is: 202,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,199.84 : 763,800 = 135,222.84 : x
  2. Step 2: Convert to fraction form
    509,199.84/763,800 = 135,222.84/x
  3. Step 3: Cross multiply
    509,199.84x = 763,800 × 135,222.84
  4. Step 4: Simplify right side
    509,199.84x = 103,283,205,192
  5. Step 5: Solve for x
    x = 103,283,205,192/509,199.84
  6. Step 6: Final answer
    x = 202,834.32

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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.