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Finding the Fourth Proportional to 452,083.68, 678,129.84 and 136,553.04

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Solution

The fourth proportional to 452,083.68, 678,129.84 and 136,553.04 is: 204,830.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,083.68 : 678,129.84 = 136,553.04 : x
  2. Step 2: Convert to fraction form
    452,083.68/678,129.84 = 136,553.04/x
  3. Step 3: Cross multiply
    452,083.68x = 678,129.84 × 136,553.04
  4. Step 4: Simplify right side
    452,083.68x = 92,600,691,166.71
  5. Step 5: Solve for x
    x = 92,600,691,166.71/452,083.68
  6. Step 6: Final answer
    x = 204,830.86

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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.