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Finding the Fourth Proportional to 280,577.60, 420,866.40 and 186,099.20

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Solution

The fourth proportional to 280,577.60, 420,866.40 and 186,099.20 is: 279,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,577.60 : 420,866.40 = 186,099.20 : x
  2. Step 2: Convert to fraction form
    280,577.60/420,866.40 = 186,099.20/x
  3. Step 3: Cross multiply
    280,577.60x = 420,866.40 × 186,099.20
  4. Step 4: Simplify right side
    280,577.60x = 78,322,900,346.88
  5. Step 5: Solve for x
    x = 78,322,900,346.88/280,577.60
  6. Step 6: Final answer
    x = 279,148.80

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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.