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Finding the Fourth Proportional to 509,383.83, 764,101.90 and 130,307.84

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Solution

The fourth proportional to 509,383.83, 764,101.90 and 130,307.84 is: 195,468.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,383.83 : 764,101.90 = 130,307.84 : x
  2. Step 2: Convert to fraction form
    509,383.83/764,101.90 = 130,307.84/x
  3. Step 3: Cross multiply
    509,383.83x = 764,101.90 × 130,307.84
  4. Step 4: Simplify right side
    509,383.83x = 99,568,468,128.90
  5. Step 5: Solve for x
    x = 99,568,468,128.90/509,383.83
  6. Step 6: Final answer
    x = 195,468.45

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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.