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Finding the Fourth Proportional to 280,893.60, 420,465.60 and 272,145.60

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Solution

The fourth proportional to 280,893.60, 420,465.60 and 272,145.60 is: 407,370.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,893.60 : 420,465.60 = 272,145.60 : x
  2. Step 2: Convert to fraction form
    280,893.60/420,465.60 = 272,145.60/x
  3. Step 3: Cross multiply
    280,893.60x = 420,465.60 × 272,145.60
  4. Step 4: Simplify right side
    280,893.60x = 114,427,862,991.36
  5. Step 5: Solve for x
    x = 114,427,862,991.36/280,893.60
  6. Step 6: Final answer
    x = 407,370.84

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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.