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Finding the Fourth Proportional to 538,832.71, 743,639.07 and 309,420.10

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Solution

The fourth proportional to 538,832.71, 743,639.07 and 309,420.10 is: 427,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,832.71 : 743,639.07 = 309,420.10 : x
  2. Step 2: Convert to fraction form
    538,832.71/743,639.07 = 309,420.10/x
  3. Step 3: Cross multiply
    538,832.71x = 743,639.07 × 309,420.10
  4. Step 4: Simplify right side
    538,832.71x = 230,096,875,403.31
  5. Step 5: Solve for x
    x = 230,096,875,403.31/538,832.71
  6. Step 6: Final answer
    x = 427,028.41

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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.