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Finding the Fourth Proportional to 476,208.32, 657,224.16 and 275,000

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Solution

The fourth proportional to 476,208.32, 657,224.16 and 275,000 is: 379,532.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,208.32 : 657,224.16 = 275,000 : x
  2. Step 2: Convert to fraction form
    476,208.32/657,224.16 = 275,000/x
  3. Step 3: Cross multiply
    476,208.32x = 657,224.16 × 275,000
  4. Step 4: Simplify right side
    476,208.32x = 180,736,644,000
  5. Step 5: Solve for x
    x = 180,736,644,000/476,208.32
  6. Step 6: Final answer
    x = 379,532.73

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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.