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Finding the Fourth Proportional to 539,423.14, 809,495.86 and 223,880.35

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Solution

The fourth proportional to 539,423.14, 809,495.86 and 223,880.35 is: 335,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,423.14 : 809,495.86 = 223,880.35 : x
  2. Step 2: Convert to fraction form
    539,423.14/809,495.86 = 223,880.35/x
  3. Step 3: Cross multiply
    539,423.14x = 809,495.86 × 223,880.35
  4. Step 4: Simplify right side
    539,423.14x = 181,230,212,412.87
  5. Step 5: Solve for x
    x = 181,230,212,412.87/539,423.14
  6. Step 6: Final answer
    x = 335,970.41

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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.