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Finding the Fourth Proportional to 476,227.95, 657,202.58 and 261,388

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Solution

The fourth proportional to 476,227.95, 657,202.58 and 261,388 is: 360,719.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,227.95 : 657,202.58 = 261,388 : x
  2. Step 2: Convert to fraction form
    476,227.95/657,202.58 = 261,388/x
  3. Step 3: Cross multiply
    476,227.95x = 657,202.58 × 261,388
  4. Step 4: Simplify right side
    476,227.95x = 171,784,867,981.04
  5. Step 5: Solve for x
    x = 171,784,867,981.04/476,227.95
  6. Step 6: Final answer
    x = 360,719.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.