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Finding the Fourth Proportional to 539,788.96, 809,684.40 and 140,429.09

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Solution

The fourth proportional to 539,788.96, 809,684.40 and 140,429.09 is: 210,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,788.96 : 809,684.40 = 140,429.09 : x
  2. Step 2: Convert to fraction form
    539,788.96/809,684.40 = 140,429.09/x
  3. Step 3: Cross multiply
    539,788.96x = 809,684.40 × 140,429.09
  4. Step 4: Simplify right side
    539,788.96x = 113,703,246,030.02
  5. Step 5: Solve for x
    x = 113,703,246,030.02/539,788.96
  6. Step 6: Final answer
    x = 210,643.89

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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.