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Finding the Fourth Proportional to 280,191.96, 420,411.02 and 147,041.12

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Solution

The fourth proportional to 280,191.96, 420,411.02 and 147,041.12 is: 220,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,191.96 : 420,411.02 = 147,041.12 : x
  2. Step 2: Convert to fraction form
    280,191.96/420,411.02 = 147,041.12/x
  3. Step 3: Cross multiply
    280,191.96x = 420,411.02 × 147,041.12
  4. Step 4: Simplify right side
    280,191.96x = 61,817,707,241.14
  5. Step 5: Solve for x
    x = 61,817,707,241.14/280,191.96
  6. Step 6: Final answer
    x = 220,626.27

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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.