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Finding the Fourth Proportional to 452,577.53, 678,953.72 and 172,072.97

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Solution

The fourth proportional to 452,577.53, 678,953.72 and 172,072.97 is: 258,142.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,577.53 : 678,953.72 = 172,072.97 : x
  2. Step 2: Convert to fraction form
    452,577.53/678,953.72 = 172,072.97/x
  3. Step 3: Cross multiply
    452,577.53x = 678,953.72 × 172,072.97
  4. Step 4: Simplify right side
    452,577.53x = 116,829,584,360.15
  5. Step 5: Solve for x
    x = 116,829,584,360.15/452,577.53
  6. Step 6: Final answer
    x = 258,142.70

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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.