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Finding the Fourth Proportional to 476,728, 657,724.45 and 269,968.21

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Solution

The fourth proportional to 476,728, 657,724.45 and 269,968.21 is: 372,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,728 : 657,724.45 = 269,968.21 : x
  2. Step 2: Convert to fraction form
    476,728/657,724.45 = 269,968.21/x
  3. Step 3: Cross multiply
    476,728x = 657,724.45 × 269,968.21
  4. Step 4: Simplify right side
    476,728x = 177,564,692,439.74
  5. Step 5: Solve for x
    x = 177,564,692,439.74/476,728
  6. Step 6: Final answer
    x = 372,465.42

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1.5x scale

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.