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Finding the Fourth Proportional to 415,007.60, 622,511.40 and 412,383.20

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Solution

The fourth proportional to 415,007.60, 622,511.40 and 412,383.20 is: 618,574.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,007.60 : 622,511.40 = 412,383.20 : x
  2. Step 2: Convert to fraction form
    415,007.60/622,511.40 = 412,383.20/x
  3. Step 3: Cross multiply
    415,007.60x = 622,511.40 × 412,383.20
  4. Step 4: Simplify right side
    415,007.60x = 256,713,243,168.48
  5. Step 5: Solve for x
    x = 256,713,243,168.48/415,007.60
  6. Step 6: Final answer
    x = 618,574.80

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1.5x scale

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.