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Finding the Fourth Proportional to 764,570, 1,146,993.42 and 315,040.88

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Solution

The fourth proportional to 764,570, 1,146,993.42 and 315,040.88 is: 472,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,570 : 1,146,993.42 = 315,040.88 : x
  2. Step 2: Convert to fraction form
    764,570/1,146,993.42 = 315,040.88/x
  3. Step 3: Cross multiply
    764,570x = 1,146,993.42 × 315,040.88
  4. Step 4: Simplify right side
    764,570x = 361,349,816,391.01
  5. Step 5: Solve for x
    x = 361,349,816,391.01/764,570
  6. Step 6: Final answer
    x = 472,618.36

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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.