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Finding the Fourth Proportional to 272,298.40, 408,447.60 and 202,314.40

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Solution

The fourth proportional to 272,298.40, 408,447.60 and 202,314.40 is: 303,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,298.40 : 408,447.60 = 202,314.40 : x
  2. Step 2: Convert to fraction form
    272,298.40/408,447.60 = 202,314.40/x
  3. Step 3: Cross multiply
    272,298.40x = 408,447.60 × 202,314.40
  4. Step 4: Simplify right side
    272,298.40x = 82,634,831,125.44
  5. Step 5: Solve for x
    x = 82,634,831,125.44/272,298.40
  6. Step 6: Final answer
    x = 303,471.60

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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.