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Finding the Fourth Proportional to 282,778.32, 424,170.84 and 72,410.64

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Solution

The fourth proportional to 282,778.32, 424,170.84 and 72,410.64 is: 108,616.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,778.32 : 424,170.84 = 72,410.64 : x
  2. Step 2: Convert to fraction form
    282,778.32/424,170.84 = 72,410.64/x
  3. Step 3: Cross multiply
    282,778.32x = 424,170.84 × 72,410.64
  4. Step 4: Simplify right side
    282,778.32x = 30,714,481,993.74
  5. Step 5: Solve for x
    x = 30,714,481,993.74/282,778.32
  6. Step 6: Final answer
    x = 108,616.82

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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.