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Finding the Fourth Proportional to 339,397.20, 509,095.80 and 117,781.20

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Solution

The fourth proportional to 339,397.20, 509,095.80 and 117,781.20 is: 176,671.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,397.20 : 509,095.80 = 117,781.20 : x
  2. Step 2: Convert to fraction form
    339,397.20/509,095.80 = 117,781.20/x
  3. Step 3: Cross multiply
    339,397.20x = 509,095.80 × 117,781.20
  4. Step 4: Simplify right side
    339,397.20x = 59,961,914,238.96
  5. Step 5: Solve for x
    x = 59,961,914,238.96/339,397.20
  6. Step 6: Final answer
    x = 176,671.80

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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.