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Finding the Fourth Proportional to 405,761.40, 559,850.13 and 262,348.88

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Solution

The fourth proportional to 405,761.40, 559,850.13 and 262,348.88 is: 361,976.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,761.40 : 559,850.13 = 262,348.88 : x
  2. Step 2: Convert to fraction form
    405,761.40/559,850.13 = 262,348.88/x
  3. Step 3: Cross multiply
    405,761.40x = 559,850.13 × 262,348.88
  4. Step 4: Simplify right side
    405,761.40x = 146,876,051,774.10
  5. Step 5: Solve for x
    x = 146,876,051,774.10/405,761.40
  6. Step 6: Final answer
    x = 361,976.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.