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Finding the Fourth Proportional to 280,378.77, 420,254.67 and 147,273.09

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Solution

The fourth proportional to 280,378.77, 420,254.67 and 147,273.09 is: 220,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,378.77 : 420,254.67 = 147,273.09 : x
  2. Step 2: Convert to fraction form
    280,378.77/420,254.67 = 147,273.09/x
  3. Step 3: Cross multiply
    280,378.77x = 420,254.67 × 147,273.09
  4. Step 4: Simplify right side
    280,378.77x = 61,892,203,837.83
  5. Step 5: Solve for x
    x = 61,892,203,837.83/280,378.77
  6. Step 6: Final answer
    x = 220,744.97

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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.