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Finding the Fourth Proportional to 287,828.70, 430,965.45 and 225,620.70

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Solution

The fourth proportional to 287,828.70, 430,965.45 and 225,620.70 is: 337,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,828.70 : 430,965.45 = 225,620.70 : x
  2. Step 2: Convert to fraction form
    287,828.70/430,965.45 = 225,620.70/x
  3. Step 3: Cross multiply
    287,828.70x = 430,965.45 × 225,620.70
  4. Step 4: Simplify right side
    287,828.70x = 97,234,726,504.82
  5. Step 5: Solve for x
    x = 97,234,726,504.82/287,828.70
  6. Step 6: Final answer
    x = 337,821.51

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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.