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Finding the Fourth Proportional to 509,520.83, 764,283.06 and 154,537.92

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Solution

The fourth proportional to 509,520.83, 764,283.06 and 154,537.92 is: 231,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,520.83 : 764,283.06 = 154,537.92 : x
  2. Step 2: Convert to fraction form
    509,520.83/764,283.06 = 154,537.92/x
  3. Step 3: Cross multiply
    509,520.83x = 764,283.06 × 154,537.92
  4. Step 4: Simplify right side
    509,520.83x = 118,110,714,383.64
  5. Step 5: Solve for x
    x = 118,110,714,383.64/509,520.83
  6. Step 6: Final answer
    x = 231,807.43

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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.