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Finding the Fourth Proportional to 509,370.18, 764,080.65 and 193,851.54

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Solution

The fourth proportional to 509,370.18, 764,080.65 and 193,851.54 is: 290,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,370.18 : 764,080.65 = 193,851.54 : x
  2. Step 2: Convert to fraction form
    509,370.18/764,080.65 = 193,851.54/x
  3. Step 3: Cross multiply
    509,370.18x = 764,080.65 × 193,851.54
  4. Step 4: Simplify right side
    509,370.18x = 148,118,210,686.70
  5. Step 5: Solve for x
    x = 148,118,210,686.70/509,370.18
  6. Step 6: Final answer
    x = 290,786.97

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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.