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Finding the Fourth Proportional to 377,563.20, 566,344.80 and 209,601.60

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Solution

The fourth proportional to 377,563.20, 566,344.80 and 209,601.60 is: 314,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,563.20 : 566,344.80 = 209,601.60 : x
  2. Step 2: Convert to fraction form
    377,563.20/566,344.80 = 209,601.60/x
  3. Step 3: Cross multiply
    377,563.20x = 566,344.80 × 209,601.60
  4. Step 4: Simplify right side
    377,563.20x = 118,706,776,231.68
  5. Step 5: Solve for x
    x = 118,706,776,231.68/377,563.20
  6. Step 6: Final answer
    x = 314,402.40

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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.