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Finding the Fourth Proportional to 280,440.16, 420,660.24 and 149,081.44

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Solution

The fourth proportional to 280,440.16, 420,660.24 and 149,081.44 is: 223,622.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,440.16 : 420,660.24 = 149,081.44 : x
  2. Step 2: Convert to fraction form
    280,440.16/420,660.24 = 149,081.44/x
  3. Step 3: Cross multiply
    280,440.16x = 420,660.24 × 149,081.44
  4. Step 4: Simplify right side
    280,440.16x = 62,712,634,329.95
  5. Step 5: Solve for x
    x = 62,712,634,329.95/280,440.16
  6. Step 6: Final answer
    x = 223,622.16

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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.