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Finding the Fourth Proportional to 280,190.96, 420,409.52 and 147,040.12

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Solution

The fourth proportional to 280,190.96, 420,409.52 and 147,040.12 is: 220,624.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,190.96 : 420,409.52 = 147,040.12 : x
  2. Step 2: Convert to fraction form
    280,190.96/420,409.52 = 147,040.12/x
  3. Step 3: Cross multiply
    280,190.96x = 420,409.52 × 147,040.12
  4. Step 4: Simplify right side
    280,190.96x = 61,817,066,269.94
  5. Step 5: Solve for x
    x = 61,817,066,269.94/280,190.96
  6. Step 6: Final answer
    x = 220,624.77

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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.