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Finding the Fourth Proportional to 378,720, 522,650.28 and 217,625.58

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Solution

The fourth proportional to 378,720, 522,650.28 and 217,625.58 is: 300,332.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,720 : 522,650.28 = 217,625.58 : x
  2. Step 2: Convert to fraction form
    378,720/522,650.28 = 217,625.58/x
  3. Step 3: Cross multiply
    378,720x = 522,650.28 × 217,625.58
  4. Step 4: Simplify right side
    378,720x = 113,742,070,322.16
  5. Step 5: Solve for x
    x = 113,742,070,322.16/378,720
  6. Step 6: Final answer
    x = 300,332.89

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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.