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Finding the Fourth Proportional to 412,384.08, 569,086.56 and 378,529.32

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Solution

The fourth proportional to 412,384.08, 569,086.56 and 378,529.32 is: 522,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,384.08 : 569,086.56 = 378,529.32 : x
  2. Step 2: Convert to fraction form
    412,384.08/569,086.56 = 378,529.32/x
  3. Step 3: Cross multiply
    412,384.08x = 569,086.56 × 378,529.32
  4. Step 4: Simplify right side
    412,384.08x = 215,415,948,577.94
  5. Step 5: Solve for x
    x = 215,415,948,577.94/412,384.08
  6. Step 6: Final answer
    x = 522,367.28

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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.