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Finding the Fourth Proportional to 339,720.42, 509,641.92 and 139,931.76

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Solution

The fourth proportional to 339,720.42, 509,641.92 and 139,931.76 is: 209,922.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,720.42 : 509,641.92 = 139,931.76 : x
  2. Step 2: Convert to fraction form
    339,720.42/509,641.92 = 139,931.76/x
  3. Step 3: Cross multiply
    339,720.42x = 509,641.92 × 139,931.76
  4. Step 4: Simplify right side
    339,720.42x = 71,315,090,835.38
  5. Step 5: Solve for x
    x = 71,315,090,835.38/339,720.42
  6. Step 6: Final answer
    x = 209,922.89

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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.