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Finding the Fourth Proportional to 378,423.24, 566,992.56 and 228,348.21

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Solution

The fourth proportional to 378,423.24, 566,992.56 and 228,348.21 is: 342,134.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,423.24 : 566,992.56 = 228,348.21 : x
  2. Step 2: Convert to fraction form
    378,423.24/566,992.56 = 228,348.21/x
  3. Step 3: Cross multiply
    378,423.24x = 566,992.56 × 228,348.21
  4. Step 4: Simplify right side
    378,423.24x = 129,471,736,159.32
  5. Step 5: Solve for x
    x = 129,471,736,159.32/378,423.24
  6. Step 6: Final answer
    x = 342,134.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.