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Finding the Fourth Proportional to 378,595.94, 522,518.96 and 242,783.24

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Solution

The fourth proportional to 378,595.94, 522,518.96 and 242,783.24 is: 335,077.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,595.94 : 522,518.96 = 242,783.24 : x
  2. Step 2: Convert to fraction form
    378,595.94/522,518.96 = 242,783.24/x
  3. Step 3: Cross multiply
    378,595.94x = 522,518.96 × 242,783.24
  4. Step 4: Simplify right side
    378,595.94x = 126,858,846,070.23
  5. Step 5: Solve for x
    x = 126,858,846,070.23/378,595.94
  6. Step 6: Final answer
    x = 335,077.14

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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.