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Finding the Fourth Proportional to 471,147.04, 650,395.20 and 310,086.64

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Solution

The fourth proportional to 471,147.04, 650,395.20 and 310,086.64 is: 428,059.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,147.04 : 650,395.20 = 310,086.64 : x
  2. Step 2: Convert to fraction form
    471,147.04/650,395.20 = 310,086.64/x
  3. Step 3: Cross multiply
    471,147.04x = 650,395.20 × 310,086.64
  4. Step 4: Simplify right side
    471,147.04x = 201,678,862,240.13
  5. Step 5: Solve for x
    x = 201,678,862,240.13/471,147.04
  6. Step 6: Final answer
    x = 428,059.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.