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Finding the Fourth Proportional to 378,423.93, 522,491.82 and 242,807.25

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Solution

The fourth proportional to 378,423.93, 522,491.82 and 242,807.25 is: 335,245.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,423.93 : 522,491.82 = 242,807.25 : x
  2. Step 2: Convert to fraction form
    378,423.93/522,491.82 = 242,807.25/x
  3. Step 3: Cross multiply
    378,423.93x = 522,491.82 × 242,807.25
  4. Step 4: Simplify right side
    378,423.93x = 126,864,801,961.70
  5. Step 5: Solve for x
    x = 126,864,801,961.70/378,423.93
  6. Step 6: Final answer
    x = 335,245.19

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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.