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Finding the Fourth Proportional to 280,228.76, 420,256.90 and 80,495.48

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Solution

The fourth proportional to 280,228.76, 420,256.90 and 80,495.48 is: 120,718.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,228.76 : 420,256.90 = 80,495.48 : x
  2. Step 2: Convert to fraction form
    280,228.76/420,256.90 = 80,495.48/x
  3. Step 3: Cross multiply
    280,228.76x = 420,256.90 × 80,495.48
  4. Step 4: Simplify right side
    280,228.76x = 33,828,780,888.81
  5. Step 5: Solve for x
    x = 33,828,780,888.81/280,228.76
  6. Step 6: Final answer
    x = 120,718.45

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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.