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Finding the Fourth Proportional to 476,213.30, 657,153.78 and 261,357.02

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Solution

The fourth proportional to 476,213.30, 657,153.78 and 261,357.02 is: 360,661.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,213.30 : 657,153.78 = 261,357.02 : x
  2. Step 2: Convert to fraction form
    476,213.30/657,153.78 = 261,357.02/x
  3. Step 3: Cross multiply
    476,213.30x = 657,153.78 × 261,357.02
  4. Step 4: Simplify right side
    476,213.30x = 171,751,753,622.54
  5. Step 5: Solve for x
    x = 171,751,753,622.54/476,213.30
  6. Step 6: Final answer
    x = 360,661.40

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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.