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Finding the Fourth Proportional to 280,224.58, 420,305.82 and 100,302.82

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Solution

The fourth proportional to 280,224.58, 420,305.82 and 100,302.82 is: 150,443.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,224.58 : 420,305.82 = 100,302.82 : x
  2. Step 2: Convert to fraction form
    280,224.58/420,305.82 = 100,302.82/x
  3. Step 3: Cross multiply
    280,224.58x = 420,305.82 × 100,302.82
  4. Step 4: Simplify right side
    280,224.58x = 42,157,859,008.41
  5. Step 5: Solve for x
    x = 42,157,859,008.41/280,224.58
  6. Step 6: Final answer
    x = 150,443.12

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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.