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Finding the Fourth Proportional to 369,055.26, 509,333.87 and 225,909.90

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Solution

The fourth proportional to 369,055.26, 509,333.87 and 225,909.90 is: 311,778.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,055.26 : 509,333.87 = 225,909.90 : x
  2. Step 2: Convert to fraction form
    369,055.26/509,333.87 = 225,909.90/x
  3. Step 3: Cross multiply
    369,055.26x = 509,333.87 × 225,909.90
  4. Step 4: Simplify right side
    369,055.26x = 115,063,563,638.31
  5. Step 5: Solve for x
    x = 115,063,563,638.31/369,055.26
  6. Step 6: Final answer
    x = 311,778.68

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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.