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Finding the Fourth Proportional to 339,854.81, 509,749.10 and 103,199.54

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Solution

The fourth proportional to 339,854.81, 509,749.10 and 103,199.54 is: 154,789.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,854.81 : 509,749.10 = 103,199.54 : x
  2. Step 2: Convert to fraction form
    339,854.81/509,749.10 = 103,199.54/x
  3. Step 3: Cross multiply
    339,854.81x = 509,749.10 × 103,199.54
  4. Step 4: Simplify right side
    339,854.81x = 52,605,869,957.67
  5. Step 5: Solve for x
    x = 52,605,869,957.67/339,854.81
  6. Step 6: Final answer
    x = 154,789.25

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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.