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Finding the Fourth Proportional to 452,511.32, 678,854.55 and 172,006.70

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Solution

The fourth proportional to 452,511.32, 678,854.55 and 172,006.70 is: 258,043.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,511.32 : 678,854.55 = 172,006.70 : x
  2. Step 2: Convert to fraction form
    452,511.32/678,854.55 = 172,006.70/x
  3. Step 3: Cross multiply
    452,511.32x = 678,854.55 × 172,006.70
  4. Step 4: Simplify right side
    452,511.32x = 116,767,527,531.21
  5. Step 5: Solve for x
    x = 116,767,527,531.21/452,511.32
  6. Step 6: Final answer
    x = 258,043.33

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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.