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Finding the Fourth Proportional to 452,586, 678,966.39 and 172,081.38

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Solution

The fourth proportional to 452,586, 678,966.39 and 172,081.38 is: 258,155.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,586 : 678,966.39 = 172,081.38 : x
  2. Step 2: Convert to fraction form
    452,586/678,966.39 = 172,081.38/x
  3. Step 3: Cross multiply
    452,586x = 678,966.39 × 172,081.38
  4. Step 4: Simplify right side
    452,586x = 116,837,473,364.82
  5. Step 5: Solve for x
    x = 116,837,473,364.82/452,586
  6. Step 6: Final answer
    x = 258,155.30

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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.