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Finding the Fourth Proportional to 272,800.80, 409,201.20 and 178,322.40

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Solution

The fourth proportional to 272,800.80, 409,201.20 and 178,322.40 is: 267,483.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800.80 : 409,201.20 = 178,322.40 : x
  2. Step 2: Convert to fraction form
    272,800.80/409,201.20 = 178,322.40/x
  3. Step 3: Cross multiply
    272,800.80x = 409,201.20 × 178,322.40
  4. Step 4: Simplify right side
    272,800.80x = 72,969,740,066.88
  5. Step 5: Solve for x
    x = 72,969,740,066.88/272,800.80
  6. Step 6: Final answer
    x = 267,483.60

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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.