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Finding the Fourth Proportional to 538,910.74, 743,702.07 and 309,465.28

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Solution

The fourth proportional to 538,910.74, 743,702.07 and 309,465.28 is: 427,065.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,910.74 : 743,702.07 = 309,465.28 : x
  2. Step 2: Convert to fraction form
    538,910.74/743,702.07 = 309,465.28/x
  3. Step 3: Cross multiply
    538,910.74x = 743,702.07 × 309,465.28
  4. Step 4: Simplify right side
    538,910.74x = 230,149,969,329.13
  5. Step 5: Solve for x
    x = 230,149,969,329.13/538,910.74
  6. Step 6: Final answer
    x = 427,065.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.