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Finding the Fourth Proportional to 415,070.80, 622,606.38 and 320,439.16

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Solution

The fourth proportional to 415,070.80, 622,606.38 and 320,439.16 is: 480,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,070.80 : 622,606.38 = 320,439.16 : x
  2. Step 2: Convert to fraction form
    415,070.80/622,606.38 = 320,439.16/x
  3. Step 3: Cross multiply
    415,070.80x = 622,606.38 × 320,439.16
  4. Step 4: Simplify right side
    415,070.80x = 199,507,465,417.84
  5. Step 5: Solve for x
    x = 199,507,465,417.84/415,070.80
  6. Step 6: Final answer
    x = 480,658.88

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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.