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Finding the Fourth Proportional to 339,658.38, 509,492.43 and 129,307.86

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Solution

The fourth proportional to 339,658.38, 509,492.43 and 129,307.86 is: 193,963.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,658.38 : 509,492.43 = 129,307.86 : x
  2. Step 2: Convert to fraction form
    339,658.38/509,492.43 = 129,307.86/x
  3. Step 3: Cross multiply
    339,658.38x = 509,492.43 × 129,307.86
  4. Step 4: Simplify right side
    339,658.38x = 65,881,375,809.50
  5. Step 5: Solve for x
    x = 65,881,375,809.50/339,658.38
  6. Step 6: Final answer
    x = 193,963.64

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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.