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Finding the Fourth Proportional to 452,005.76, 678,118.44 and 136,443.80

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Solution

The fourth proportional to 452,005.76, 678,118.44 and 136,443.80 is: 204,698.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,005.76 : 678,118.44 = 136,443.80 : x
  2. Step 2: Convert to fraction form
    452,005.76/678,118.44 = 136,443.80/x
  3. Step 3: Cross multiply
    452,005.76x = 678,118.44 × 136,443.80
  4. Step 4: Simplify right side
    452,005.76x = 92,525,056,803.67
  5. Step 5: Solve for x
    x = 92,525,056,803.67/452,005.76
  6. Step 6: Final answer
    x = 204,698.84

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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.