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Finding the Fourth Proportional to 275,423.60, 413,135.40 and 180,945.20

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Solution

The fourth proportional to 275,423.60, 413,135.40 and 180,945.20 is: 271,417.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,423.60 : 413,135.40 = 180,945.20 : x
  2. Step 2: Convert to fraction form
    275,423.60/413,135.40 = 180,945.20/x
  3. Step 3: Cross multiply
    275,423.60x = 413,135.40 × 180,945.20
  4. Step 4: Simplify right side
    275,423.60x = 74,754,867,580.08
  5. Step 5: Solve for x
    x = 74,754,867,580.08/275,423.60
  6. Step 6: Final answer
    x = 271,417.80

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1.5x scale

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.