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Finding the Fourth Proportional to 538,785, 743,590.80 and 309,414.24

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Solution

The fourth proportional to 538,785, 743,590.80 and 309,414.24 is: 427,030.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,785 : 743,590.80 = 309,414.24 : x
  2. Step 2: Convert to fraction form
    538,785/743,590.80 = 309,414.24/x
  3. Step 3: Cross multiply
    538,785x = 743,590.80 × 309,414.24
  4. Step 4: Simplify right side
    538,785x = 230,077,582,252.99
  5. Step 5: Solve for x
    x = 230,077,582,252.99/538,785
  6. Step 6: Final answer
    x = 427,030.42

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1.5x scale

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.