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Finding the Fourth Proportional to 378,421.94, 522,348.83 and 225,508.08

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Solution

The fourth proportional to 378,421.94, 522,348.83 and 225,508.08 is: 311,276.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,421.94 : 522,348.83 = 225,508.08 : x
  2. Step 2: Convert to fraction form
    378,421.94/522,348.83 = 225,508.08/x
  3. Step 3: Cross multiply
    378,421.94x = 522,348.83 × 225,508.08
  4. Step 4: Simplify right side
    378,421.94x = 117,793,883,420.47
  5. Step 5: Solve for x
    x = 117,793,883,420.47/378,421.94
  6. Step 6: Final answer
    x = 311,276.57

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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.