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Finding the Fourth Proportional to 407,063.88, 610,471.44 and 281,511

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Solution

The fourth proportional to 407,063.88, 610,471.44 and 281,511 is: 422,180.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,063.88 : 610,471.44 = 281,511 : x
  2. Step 2: Convert to fraction form
    407,063.88/610,471.44 = 281,511/x
  3. Step 3: Cross multiply
    407,063.88x = 610,471.44 × 281,511
  4. Step 4: Simplify right side
    407,063.88x = 171,854,425,545.84
  5. Step 5: Solve for x
    x = 171,854,425,545.84/407,063.88
  6. Step 6: Final answer
    x = 422,180.48

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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.