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Finding the Fourth Proportional to 688,338, 949,906.44 and 386,532

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Solution

The fourth proportional to 688,338, 949,906.44 and 386,532 is: 533,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,338 : 949,906.44 = 386,532 : x
  2. Step 2: Convert to fraction form
    688,338/949,906.44 = 386,532/x
  3. Step 3: Cross multiply
    688,338x = 949,906.44 × 386,532
  4. Step 4: Simplify right side
    688,338x = 367,169,236,066.08
  5. Step 5: Solve for x
    x = 367,169,236,066.08/688,338
  6. Step 6: Final answer
    x = 533,414.16

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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.