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Finding the Fourth Proportional to 378,671.36, 522,473.28 and 231,459.04

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Solution

The fourth proportional to 378,671.36, 522,473.28 and 231,459.04 is: 319,356.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,671.36 : 522,473.28 = 231,459.04 : x
  2. Step 2: Convert to fraction form
    378,671.36/522,473.28 = 231,459.04/x
  3. Step 3: Cross multiply
    378,671.36x = 522,473.28 × 231,459.04
  4. Step 4: Simplify right side
    378,671.36x = 120,931,163,814.45
  5. Step 5: Solve for x
    x = 120,931,163,814.45/378,671.36
  6. Step 6: Final answer
    x = 319,356.51

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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.