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Finding the Fourth Proportional to 412,382.40, 569,101.70 and 393,486.72

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Solution

The fourth proportional to 412,382.40, 569,101.70 and 393,486.72 is: 543,025.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,382.40 : 569,101.70 = 393,486.72 : x
  2. Step 2: Convert to fraction form
    412,382.40/569,101.70 = 393,486.72/x
  3. Step 3: Cross multiply
    412,382.40x = 569,101.70 × 393,486.72
  4. Step 4: Simplify right side
    412,382.40x = 223,933,961,279.42
  5. Step 5: Solve for x
    x = 223,933,961,279.42/412,382.40
  6. Step 6: Final answer
    x = 543,025.02

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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.