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Finding the Fourth Proportional to 280,327.80, 420,547.08 and 102,836.34

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Solution

The fourth proportional to 280,327.80, 420,547.08 and 102,836.34 is: 154,274.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,327.80 : 420,547.08 = 102,836.34 : x
  2. Step 2: Convert to fraction form
    280,327.80/420,547.08 = 102,836.34/x
  3. Step 3: Cross multiply
    280,327.80x = 420,547.08 × 102,836.34
  4. Step 4: Simplify right side
    280,327.80x = 43,247,522,504.89
  5. Step 5: Solve for x
    x = 43,247,522,504.89/280,327.80
  6. Step 6: Final answer
    x = 154,274.83

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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.