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Finding the Fourth Proportional to 280,380.48, 420,570.64 and 154,819.08

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Solution

The fourth proportional to 280,380.48, 420,570.64 and 154,819.08 is: 232,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,380.48 : 420,570.64 = 154,819.08 : x
  2. Step 2: Convert to fraction form
    280,380.48/420,570.64 = 154,819.08/x
  3. Step 3: Cross multiply
    280,380.48x = 420,570.64 × 154,819.08
  4. Step 4: Simplify right side
    280,380.48x = 65,112,359,559.81
  5. Step 5: Solve for x
    x = 65,112,359,559.81/280,380.48
  6. Step 6: Final answer
    x = 232,228.58

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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.